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method</title> <meta name="description" content="Search results for: Socratic method"> <meta name="keywords" content="Socratic method"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler 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id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="Socratic method"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 18939</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Socratic method</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18939</span> Socratic Style of Teaching: An Analysis of Dialectical Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Jawwad">Muhammad Jawwad</a>, <a href="https://publications.waset.org/abstracts/search?q=Riffat%20Iqbal"> Riffat Iqbal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Socratic method, also known as the dialectical method and elenctic method, has significant relevance in the contemporary educational system. It can be incorporated into modern-day educational systems theoretically as well as practically. Being interactive and dialogue-based in nature, this teaching approach is followed by critical thinking and innovation. The pragmatic value of the Dialectical Method has been discussed in this article, and the limitations of the Socratic method have also been highlighted. The interactive Method of Socrates can be used in many subjects for students of different grades. The Limitations and delimitations of the Method have also been discussed for its proper implementation. This article has attempted to elaborate and analyze the teaching method of Socrates with all its pre-suppositions and Epistemological character. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Socratic%20method" title="Socratic method">Socratic method</a>, <a href="https://publications.waset.org/abstracts/search?q=dialectical%20method" title=" dialectical method"> dialectical method</a>, <a href="https://publications.waset.org/abstracts/search?q=knowledge" title=" knowledge"> knowledge</a>, <a href="https://publications.waset.org/abstracts/search?q=teaching" title=" teaching"> teaching</a>, <a href="https://publications.waset.org/abstracts/search?q=virtue" title=" virtue"> virtue</a> </p> <a href="https://publications.waset.org/abstracts/149127/socratic-style-of-teaching-an-analysis-of-dialectical-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/149127.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">134</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18938</span> Technological Advancement of Socratic Supported by Artificial Intelligence</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amad%20Nasseef">Amad Nasseef</a>, <a href="https://publications.waset.org/abstracts/search?q=Layan%20Zugail"> Layan Zugail</a>, <a href="https://publications.waset.org/abstracts/search?q=Joud%20Musalli"> Joud Musalli</a>, <a href="https://publications.waset.org/abstracts/search?q=Layan%20Shaikan"> Layan Shaikan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Technology has become an essential part of our lives. We have also witnessed the significant emergence of artificial intelligence in so many areas. Throughout this research paper, the following will be discussed: an introduction on AI and Socratic application, we also did an overview on the application’s background and other similar applications, as for the methodology, we conducted a survey to collect results on users experience in using the Socratic application. The results of the survey strongly supported the usefulness and interest of users in the Socratic application. Finally, we concluded that Socratic is a meaningful tool for learning purposes due to it being supported by artificial intelligence, which made the application easy to use and familiar to users to deal with through a click of a button. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Socratic" title="Socratic">Socratic</a>, <a href="https://publications.waset.org/abstracts/search?q=artificial%20intelligence" title=" artificial intelligence"> artificial intelligence</a>, <a href="https://publications.waset.org/abstracts/search?q=application" title=" application"> application</a>, <a href="https://publications.waset.org/abstracts/search?q=features" title=" features"> features</a> </p> <a href="https://publications.waset.org/abstracts/139818/technological-advancement-of-socratic-supported-by-artificial-intelligence" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/139818.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">217</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18937</span> Unfolding Simulations with the Use of Socratic Questioning Increases Critical Thinking in Nursing Students</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Martha%20Hough%20RN">Martha Hough RN</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Background: New nursing graduates lack the critical thinking skills required to provide safe nursing care. Critical thinking is essential in providing safe, competent, and skillful nursing interventions. Educational institutions must provide a curriculum that improves nursing students' critical thinking abilities. In addition, the recent pandemic resulted in nursing students who previously received in-person clinical but now most clinical has been converted to remote learning, increasing the use of simulations. Unfolding medium and high-fidelity simulations and Socratic questioning are used in many simulations debriefing sessions. Methodology: Google Scholar was researched with the keywords: critical thinking of nursing students with unfolding simulation, which resulted in 22,000 articles; three were used. A second search was implemented with critical thinking of nursing students Socratic questioning, which resulted in two articles being used. Conclusion: Unfolding simulations increase nursing students' critical thinking, especially during the briefing (pre-briefing and debriefing) phases, where most learning occurs. In addition, the use of Socratic questions during the briefing phases motivates other questions, helps the student analyze and critique their thinking, and assists educators in probing students' thinking, which further increases critical thinking. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=briefing" title="briefing">briefing</a>, <a href="https://publications.waset.org/abstracts/search?q=critical%20thinking" title=" critical thinking"> critical thinking</a>, <a href="https://publications.waset.org/abstracts/search?q=Socratic%20thinking" title=" Socratic thinking"> Socratic thinking</a>, <a href="https://publications.waset.org/abstracts/search?q=unfolding%20simulations" title=" unfolding simulations"> unfolding simulations</a> </p> <a href="https://publications.waset.org/abstracts/146324/unfolding-simulations-with-the-use-of-socratic-questioning-increases-critical-thinking-in-nursing-students" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/146324.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">183</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18936</span> Socrates’ Mythological Role in Plato’s Theaetetus</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yip%20Mei%20Loh">Yip Mei Loh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Plato, as a poet, employs muthos extensively to express his philosophical dialectical development, so the majority of his dialogues are comprised of muthoi. We cannot separate his muthos from his philosophical thought, since the former has great influence in the latter. So the methodology of this paper is first to discuss the dialogue <em>Theaetetus</em> to find out why he compares Socrates to the Greek goddess Artemis; then his concept of Maieutikē will be investigated. At the beginning of Plato’s <em>Theaetetus,</em> Socrates first likens himself to the goddess Artemis, who, though unmarried, has a duty to assist women in labour. Socrates’ role, as Plato portrays, is the same as that of Artemis; and the technē he possesses is Maieutikē, which is to assist his students in giving birth to their mental offspring. This paper will focus on discussion on the Socratic mythological role in Platonic interpretation and dialectics so as to reveal the philosophical meaning of Socratic ignorance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Artemis" title="Artemis">Artemis</a>, <a href="https://publications.waset.org/abstracts/search?q=ignorance" title=" ignorance"> ignorance</a>, <a href="https://publications.waset.org/abstracts/search?q=Maieutik%C4%93" title=" Maieutikē"> Maieutikē</a>, <a href="https://publications.waset.org/abstracts/search?q=muthos" title=" muthos"> muthos</a> </p> <a href="https://publications.waset.org/abstracts/60192/socrates-mythological-role-in-platos-theaetetus" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/60192.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">176</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18935</span> The Impact of the Use of Some Multiple Intelligence-Based Teaching Strategies on Developing Moral Intelligence and Inferential Jurisprudential Thinking among Secondary School Female Students in Saudi Arabia</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sameerah%20A.%20Al-Hariri%20Al-Zahrani">Sameerah A. Al-Hariri Al-Zahrani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The current study aims at getting acquainted with the impact of the use of some multiple intelligence-based teaching strategies on developing moral intelligence and inferential jurisprudential thinking among secondary school female students. The study has endeavored to answer the following questions: What is the impact of the use of some multiple intelligence-based teaching strategies on developing inferential jurisprudential thinking and moral intelligence among first-year secondary school female students? In the frame of this main research question, the study seeks to answer the following sub-questions: (i) What are the inferential jurisprudential thinking skills among first-year secondary school female students? (ii) What are the components of moral intelligence among first year secondary school female students? (iii) What is the impact of the use of some multiple intelligence‐based teaching strategies (such as the strategies of analyzing values, modeling, Socratic discussion, collaborative learning, peer collaboration, collective stories, building emotional moments, role play, one-minute observation) on moral intelligence among first-year secondary school female students? (iv) What is the impact of the use of some multiple intelligence‐based teaching strategies (such as the strategies of analyzing values, modeling, Socratic discussion, collaborative learning, peer collaboration, collective stories, building emotional moments, role play, one-minute observation) on developing the capacity for inferential jurisprudential thinking of juristic rules among first-year secondary school female students? The study has used the descriptive-analytical methodology in surveying, analyzing, and reviewing the literature on previous studies in order to benefit from them in building the tools of the study and the materials of experimental treatment. The study has also used the experimental method to study the impact of the independent variable (multiple intelligence strategies) on the two dependent variables (moral intelligence and inferential jurisprudential thinking) in first-year secondary school female students’ learning. The sample of the study is made up of 70 female students that have been divided into two groups: an experimental group consisting of 35 students who have been taught through multiple intelligence strategies, and a control group consisting of the other 35 students who have been taught normally. The two tools of the study (inferential jurisprudential thinking test and moral intelligence scale) have been implemented on the two groups as a pre-test. The female researcher taught the experimental group and implemented the two tools of the study. After the experiment, which lasted eight weeks, was over, the study showed the following results: (i) The existence of significant statistical differences (0.05) between the mean average of the control group and that of the experimental group in the inferential jurisprudential thinking test (recognition of the evidence of jurisprudential rule, recognition of the motive for the jurisprudential rule, jurisprudential inferencing, analogical jurisprudence) in favor of the experimental group. (ii) The existence of significant statistical differences (0.05) between the mean average of the control group and that of the experimental group in the components of the moral intelligence scale (sympathy, conscience, moral wisdom, tolerance, justice, respect) in favor of the experimental group. The study has, thus, demonstrated the impact of the use of some multiple intelligence-based teaching strategies on developing moral intelligence and inferential jurisprudential thinking. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=moral%20intelligence" title="moral intelligence">moral intelligence</a>, <a href="https://publications.waset.org/abstracts/search?q=teaching" title=" teaching"> teaching</a>, <a href="https://publications.waset.org/abstracts/search?q=inferential%20jurisprudential%20thinking" title=" inferential jurisprudential thinking"> inferential jurisprudential thinking</a>, <a href="https://publications.waset.org/abstracts/search?q=secondary%20school" title=" secondary school"> secondary school</a> </p> <a href="https://publications.waset.org/abstracts/124179/the-impact-of-the-use-of-some-multiple-intelligence-based-teaching-strategies-on-developing-moral-intelligence-and-inferential-jurisprudential-thinking-among-secondary-school-female-students-in-saudi-arabia" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/124179.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">159</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18934</span> Initiative Programme to Reform Education in Thailand</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Piyapat%20Chitpirom">Piyapat Chitpirom</a>, <a href="https://publications.waset.org/abstracts/search?q=Teerakiat%20Jareonsettasin"> Teerakiat Jareonsettasin</a>, <a href="https://publications.waset.org/abstracts/search?q=Chintida%20Vichitsophaphan"> Chintida Vichitsophaphan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Foundation of Virtuous Youth was established and supported by the Crown Property Bureau, with the intention to instill goodness in Thai youth. The Centre for Educational Psychology is one of the three units under the foundation. We aim to develop programmes that can be used to improve the quality of education in schools. Translation of the King’s message in keeping with the modern research from various sources, our team create 6 programmes: (1) Teacher-Student Relationship (2) Growth Mindset (3) Socratic Teaching (4) Peer Tutoring (5) Parental Involvement (6) Inclusion. After nine months of implementing the programmes in the schools, we found that there were more cooperation between student-student, teacher-student, teacher-parent, and student-parent and the school regained trust from the community. Our ideas were accepted well by the government as our director was promoted to be the Vice Minister of Education in order to implement our programmes into national education system. We consider that the key of our success is that we do practical things. We are still continuing, improving, and learning from our work with hope that the quality of Thai education will improve in near future. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=education%20reform" title="education reform">education reform</a>, <a href="https://publications.waset.org/abstracts/search?q=educational%20psychology" title=" educational psychology"> educational psychology</a>, <a href="https://publications.waset.org/abstracts/search?q=effective%20teaching" title=" effective teaching"> effective teaching</a>, <a href="https://publications.waset.org/abstracts/search?q=teacher-student%20relationship" title=" teacher-student relationship "> teacher-student relationship </a> </p> <a href="https://publications.waset.org/abstracts/18093/initiative-programme-to-reform-education-in-thailand" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18093.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">439</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18933</span> Investigating the Efficacy of Developing Critical Thinking through Literature Reading</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Julie%20Chuah%20Suan%20Choo">Julie Chuah Suan Choo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Due to the continuous change in workforce and the demands of the global workplace, many employers had lamented that the majority of university graduates were not prepared in the key areas of employment such as critical thinking, writing, self-direction and global knowledge which are most needed for the purposes of promotion. Further, critical thinking skills are deemed as integral parts of transformational pedagogy which aims at having a more informed society. To add to this, literature teaching has recently been advocated for enhancing students’ critical thinking and reasoning. Thus this study explored the effects of incorporating a few strategies in teaching literature, namely a Shakespeare play, into a course design to enhance these skills. An experiment involving a pretest and posttest using the California Critical Thinking Skills Test (CCTST) were administered on 80 first-year students enrolled in the Bachelor of Arts programme who were randomly assigned into the control group and experimental group. For the next 12 weeks, the experimental group was given intervention which included guided in-class discussion with Socratic questioning skills, learning log to detect their weaknesses in logical reasoning; presentations and quizzes. The results of CCTST which included paired T-test using SPSS version 22 indicated significant differences between the two groups. Findings have significant implications on the course design as well as pedagogical practice in using literature to enhance students’ critical thinking skills. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=literature%20teaching" title="literature teaching">literature teaching</a>, <a href="https://publications.waset.org/abstracts/search?q=critical%20thinking" title=" critical thinking"> critical thinking</a>, <a href="https://publications.waset.org/abstracts/search?q=California%20critical%20thinking%20skills%20test%20%28CCTST%29" title=" California critical thinking skills test (CCTST)"> California critical thinking skills test (CCTST)</a>, <a href="https://publications.waset.org/abstracts/search?q=course%20design" title=" course design"> course design</a> </p> <a href="https://publications.waset.org/abstracts/35548/investigating-the-efficacy-of-developing-critical-thinking-through-literature-reading" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35548.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">462</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18932</span> A New Computational Package for Using in CFD and Other Problems (Third Edition)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Reza%20Akhavan%20Khaleghi">Mohammad Reza Akhavan Khaleghi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper shows changes done to the Reduced Finite Element Method (RFEM) that its result will be the most powerful numerical method that has been proposed so far (some forms of this method are so powerful that they can approximate the most complex equations simply Laplace equation!). Finite Element Method (FEM) is a powerful numerical method that has been used successfully for the solution of the existing problems in various scientific and engineering fields such as its application in CFD. Many algorithms have been expressed based on FEM, but none have been used in popular CFD software. In this section, full monopoly is according to Finite Volume Method (FVM) due to better efficiency and adaptability with the physics of problems in comparison with FEM. It doesn't seem that FEM could compete with FVM unless it was fundamentally changed. This paper shows those changes and its result will be a powerful method that has much better performance in all subjects in comparison with FVM and another computational method. This method is not to compete with the finite volume method but to replace it. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reduced%20finite%20element%20method" title="reduced finite element method">reduced finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=new%20computational%20package" title=" new computational package"> new computational package</a>, <a href="https://publications.waset.org/abstracts/search?q=new%20finite%20element%20formulation" title=" new finite element formulation"> new finite element formulation</a>, <a href="https://publications.waset.org/abstracts/search?q=new%20higher-order%20form" title=" new higher-order form"> new higher-order form</a>, <a href="https://publications.waset.org/abstracts/search?q=new%20isogeometric%20analysis" title=" new isogeometric analysis"> new isogeometric analysis</a> </p> <a href="https://publications.waset.org/abstracts/169466/a-new-computational-package-for-using-in-cfd-and-other-problems-third-edition" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/169466.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">118</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18931</span> A Study on the Solutions of the 2-Dimensional and Forth-Order Partial Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=O.%20Acan">O. Acan</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Keskin"> Y. Keskin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we will carry out a comparative study between the reduced differential transform method, the adomian decomposition method, the variational iteration method and the homotopy analysis method. These methods are used in many fields of engineering. This is been achieved by handling a kind of 2-Dimensional and forth-order partial differential equations called the Kuramoto–Sivashinsky equations. Three numerical examples have also been carried out to validate and demonstrate efficiency of the four methods. Furthermost, it is shown that the reduced differential transform method has advantage over other methods. This method is very effective and simple and could be applied for nonlinear problems which used in engineering. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reduced%20differential%20transform%20method" title="reduced differential transform method">reduced differential transform method</a>, <a href="https://publications.waset.org/abstracts/search?q=adomian%20decomposition%20method" title=" adomian decomposition method"> adomian decomposition method</a>, <a href="https://publications.waset.org/abstracts/search?q=variational%20iteration%20method" title=" variational iteration method"> variational iteration method</a>, <a href="https://publications.waset.org/abstracts/search?q=homotopy%20analysis%20method" title=" homotopy analysis method"> homotopy analysis method</a> </p> <a href="https://publications.waset.org/abstracts/17555/a-study-on-the-solutions-of-the-2-dimensional-and-forth-order-partial-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17555.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">433</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18930</span> Elvis Improved Method for Solving Simultaneous Equations in Two Variables with Some Applications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Elvis%20Adam%20Alhassan">Elvis Adam Alhassan</a>, <a href="https://publications.waset.org/abstracts/search?q=Kaiyu%20Tian"> Kaiyu Tian</a>, <a href="https://publications.waset.org/abstracts/search?q=Akos%20Konadu"> Akos Konadu</a>, <a href="https://publications.waset.org/abstracts/search?q=Ernest%20Zamanah"> Ernest Zamanah</a>, <a href="https://publications.waset.org/abstracts/search?q=Michael%20Jackson%20Adjabui"> Michael Jackson Adjabui</a>, <a href="https://publications.waset.org/abstracts/search?q=Ibrahim%20Justice%20Musah"> Ibrahim Justice Musah</a>, <a href="https://publications.waset.org/abstracts/search?q=Esther%20Agyeiwaa%20Owusu"> Esther Agyeiwaa Owusu</a>, <a href="https://publications.waset.org/abstracts/search?q=Emmanuel%20K.%20A.%20Agyeman"> Emmanuel K. A. Agyeman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, how to solve simultaneous equations using the Elvis improved method is shown. The Elvis improved method says; to make one variable in the first equation the subject; make the same variable in the second equation the subject; equate the results and simplify to obtain the value of the unknown variable; put the value of the variable found into one equation from the first or second steps and simplify for the remaining unknown variable. The difference between our Elvis improved method and the substitution method is that: with Elvis improved method, the same variable is made the subject in both equations, and the two resulting equations equated, unlike the substitution method where one variable is made the subject of only one equation and substituted into the other equation. After describing the Elvis improved method, findings from 100 secondary students and the views of 5 secondary tutors to demonstrate the effectiveness of the method are presented. The study's purpose is proved by hypothetical examples. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=simultaneous%20equations" title="simultaneous equations">simultaneous equations</a>, <a href="https://publications.waset.org/abstracts/search?q=substitution%20method" title=" substitution method"> substitution method</a>, <a href="https://publications.waset.org/abstracts/search?q=elimination%20method" title=" elimination method"> elimination method</a>, <a href="https://publications.waset.org/abstracts/search?q=graphical%20method" title=" graphical method"> graphical method</a>, <a href="https://publications.waset.org/abstracts/search?q=Elvis%20improved%20method" title=" Elvis improved method"> Elvis improved method</a> </p> <a href="https://publications.waset.org/abstracts/165246/elvis-improved-method-for-solving-simultaneous-equations-in-two-variables-with-some-applications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/165246.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">137</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18929</span> Different Methods of Fe3O4 Nano Particles Synthesis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arezoo%20Hakimi">Arezoo Hakimi</a>, <a href="https://publications.waset.org/abstracts/search?q=Afshin%20Farahbakhsh"> Afshin Farahbakhsh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Herein, we comparison synthesized Fe3O4 using, hydrothermal method, Mechanochemical processes and solvent thermal method. The Hydrothermal Technique has been the most popular one, gathering interest from scientists and technologists of different disciplines, particularly in the last fifteen years. In the hydrothermal method Fe3O4 microspheres, in which many nearly monodisperse spherical particles with diameters of about 400nm, in the mechanochemical method regular morphology indicates that the particles are well crystallized and in the solvent thermal method Fe3O4 nanoparticles have good properties of uniform size and good dispersion. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fe3O4%20nanoparticles" title="Fe3O4 nanoparticles">Fe3O4 nanoparticles</a>, <a href="https://publications.waset.org/abstracts/search?q=hydrothermal%20method" title=" hydrothermal method"> hydrothermal method</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanochemical%20processes" title=" mechanochemical processes"> mechanochemical processes</a>, <a href="https://publications.waset.org/abstracts/search?q=solvent%20thermal%20method" title=" solvent thermal method"> solvent thermal method</a> </p> <a href="https://publications.waset.org/abstracts/46580/different-methods-of-fe3o4-nano-particles-synthesis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/46580.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">351</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18928</span> A Comparison of Smoothing Spline Method and Penalized Spline Regression Method Based on Nonparametric Regression Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Autcha%20Araveeporn">Autcha Araveeporn</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a study about a nonparametric regression model consisting of a smoothing spline method and a penalized spline regression method. We also compare the techniques used for estimation and prediction of nonparametric regression model. We tried both methods with crude oil prices in dollars per barrel and the Stock Exchange of Thailand (SET) index. According to the results, it is concluded that smoothing spline method performs better than that of penalized spline regression method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonparametric%20regression%20model" title="nonparametric regression model">nonparametric regression model</a>, <a href="https://publications.waset.org/abstracts/search?q=penalized%20spline%20regression%20method" title=" penalized spline regression method"> penalized spline regression method</a>, <a href="https://publications.waset.org/abstracts/search?q=smoothing%20spline%20method" title=" smoothing spline method"> smoothing spline method</a>, <a href="https://publications.waset.org/abstracts/search?q=Stock%20Exchange%20of%20Thailand%20%28SET%29" title=" Stock Exchange of Thailand (SET)"> Stock Exchange of Thailand (SET)</a> </p> <a href="https://publications.waset.org/abstracts/2974/a-comparison-of-smoothing-spline-method-and-penalized-spline-regression-method-based-on-nonparametric-regression-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2974.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">440</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18927</span> Influence of Optimization Method on Parameters Identification of Hyperelastic Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bale%20Baidi%20Blaise">Bale Baidi Blaise</a>, <a href="https://publications.waset.org/abstracts/search?q=Gilles%20Marckmann"> Gilles Marckmann</a>, <a href="https://publications.waset.org/abstracts/search?q=Liman%20%20Kaoye"> Liman Kaoye</a>, <a href="https://publications.waset.org/abstracts/search?q=Talaka%20Dya"> Talaka Dya</a>, <a href="https://publications.waset.org/abstracts/search?q=Moustapha%20Bachirou"> Moustapha Bachirou</a>, <a href="https://publications.waset.org/abstracts/search?q=Gambo%20Betchewe"> Gambo Betchewe</a>, <a href="https://publications.waset.org/abstracts/search?q=Tibi%20Beda"> Tibi Beda</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work highlights the capabilities of particles swarm optimization (PSO) method to identify parameters of hyperelastic models. The study compares this method with Genetic Algorithm (GA) method, Least Squares (LS) method, Pattern Search Algorithm (PSA) method, Beda-Chevalier (BC) method and the Levenberg-Marquardt (LM) method. Four classic hyperelastic models are used to test the diﬀerent methods through parameters identification. Then, the study compares the ability of these models to reproduce experimental Treloar data in simple tension, biaxial tension and pure shear. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=particle%20swarm%20optimization" title="particle swarm optimization">particle swarm optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=identification" title=" identification"> identification</a>, <a href="https://publications.waset.org/abstracts/search?q=hyperelastic" title=" hyperelastic"> hyperelastic</a>, <a href="https://publications.waset.org/abstracts/search?q=model" title=" model"> model</a> </p> <a href="https://publications.waset.org/abstracts/138255/influence-of-optimization-method-on-parameters-identification-of-hyperelastic-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138255.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">171</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18926</span> Mathematical Reconstruction of an Object Image Using X-Ray Interferometric Fourier Holography Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20K.%20Balyan">M. K. Balyan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main principles of X-ray Fourier interferometric holography method are discussed. The object image is reconstructed by the mathematical method of Fourier transformation. The three methods are presented – method of approximation, iteration method and step by step method. As an example the complex amplitude transmission coefficient reconstruction of a beryllium wire is considered. The results reconstructed by three presented methods are compared. The best results are obtained by means of step by step method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamical%20diffraction" title="dynamical diffraction">dynamical diffraction</a>, <a href="https://publications.waset.org/abstracts/search?q=hologram" title=" hologram"> hologram</a>, <a href="https://publications.waset.org/abstracts/search?q=object%20image" title=" object image"> object image</a>, <a href="https://publications.waset.org/abstracts/search?q=X-ray%20holography" title=" X-ray holography"> X-ray holography</a> </p> <a href="https://publications.waset.org/abstracts/56283/mathematical-reconstruction-of-an-object-image-using-x-ray-interferometric-fourier-holography-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56283.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">394</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18925</span> Modified Approximation Methods for Finding an Optimal Solution for the Transportation Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20Guruprasad">N. Guruprasad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a modification of approximation method for transportation problems. The initial basic feasible solution can be computed using either Russel's or Vogel's approximation methods. Russell’s approximation method provides another excellent criterion that is still quick to implement on a computer (not manually) In most cases Russel's method yields a better initial solution, though it takes longer than Vogel's method (finding the next entering variable in Russel's method is in O(n1*n2), and in O(n1+n2) for Vogel's method). However, Russel's method normally has a lesser total running time because less pivots are required to reach the optimum for all but small problem sizes (n1+n2=~20). With this motivation behind we have incorporated a variation of the same – what we have proposed it has TMC (Total Modified Cost) to obtain fast and efficient solutions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=computation" title="computation">computation</a>, <a href="https://publications.waset.org/abstracts/search?q=efficiency" title=" efficiency"> efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20cost" title=" modified cost"> modified cost</a>, <a href="https://publications.waset.org/abstracts/search?q=Russell%E2%80%99s%20approximation%20method" title=" Russell’s approximation method"> Russell’s approximation method</a>, <a href="https://publications.waset.org/abstracts/search?q=transportation" title=" transportation"> transportation</a>, <a href="https://publications.waset.org/abstracts/search?q=Vogel%E2%80%99s%20approximation%20method" title=" Vogel’s approximation method"> Vogel’s approximation method</a> </p> <a href="https://publications.waset.org/abstracts/19162/modified-approximation-methods-for-finding-an-optimal-solution-for-the-transportation-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19162.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">547</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18924</span> Steepest Descent Method with New Step Sizes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bib%20Paruhum%20Silalahi">Bib Paruhum Silalahi</a>, <a href="https://publications.waset.org/abstracts/search?q=Djihad%20Wungguli"> Djihad Wungguli</a>, <a href="https://publications.waset.org/abstracts/search?q=Sugi%20Guritman"> Sugi Guritman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Steepest descent method is a simple gradient method for optimization. This method has a slow convergence in heading to the optimal solution, which occurs because of the zigzag form of the steps. Barzilai and Borwein modified this algorithm so that it performs well for problems with large dimensions. Barzilai and Borwein method results have sparked a lot of research on the method of steepest descent, including alternate minimization gradient method and Yuan method. Inspired by previous works, we modified the step size of the steepest descent method. We then compare the modification results against the Barzilai and Borwein method, alternate minimization gradient method and Yuan method for quadratic function cases in terms of the iterations number and the running time. The average results indicate that the steepest descent method with the new step sizes provide good results for small dimensions and able to compete with the results of Barzilai and Borwein method and the alternate minimization gradient method for large dimensions. The new step sizes have faster convergence compared to the other methods, especially for cases with large dimensions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=steepest%20descent" title="steepest descent">steepest descent</a>, <a href="https://publications.waset.org/abstracts/search?q=line%20search" title=" line search"> line search</a>, <a href="https://publications.waset.org/abstracts/search?q=iteration" title=" iteration"> iteration</a>, <a href="https://publications.waset.org/abstracts/search?q=running%20time" title=" running time"> running time</a>, <a href="https://publications.waset.org/abstracts/search?q=unconstrained%20optimization" title=" unconstrained optimization"> unconstrained optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=convergence" title=" convergence"> convergence</a> </p> <a href="https://publications.waset.org/abstracts/29734/steepest-descent-method-with-new-step-sizes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29734.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">540</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18923</span> Calculating Stress Intensity Factor of Cracked Axis by Using a Meshless Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20Shahrooi">S. Shahrooi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Talavari"> A. Talavari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numeral study on the crack and discontinuity using element-free methods has been widely spread in recent years. In this study, for stress intensity factor calculation of the cracked axis under torsional loading has been used from a new element-free method as MLPG method. Region range is discretized by some dispersed nodal points. From method of moving least square (MLS) utilized to create the functions using these nodal points. Then, results of meshless method and finite element method (FEM) were compared. The results is shown which the element-free method was of good accuracy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=stress%20intensity%20factor" title="stress intensity factor">stress intensity factor</a>, <a href="https://publications.waset.org/abstracts/search?q=crack" title=" crack"> crack</a>, <a href="https://publications.waset.org/abstracts/search?q=torsional%20loading" title=" torsional loading"> torsional loading</a>, <a href="https://publications.waset.org/abstracts/search?q=meshless%20method" title=" meshless method "> meshless method </a> </p> <a href="https://publications.waset.org/abstracts/18554/calculating-stress-intensity-factor-of-cracked-axis-by-using-a-meshless-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18554.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">565</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18922</span> An Efficient Approach to Optimize the Cost and Profit of a Tea Garden by Using Branch and Bound Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abu%20Hashan%20Md%20Mashud">Abu Hashan Md Mashud</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Sharif%20Uddin"> M. Sharif Uddin</a>, <a href="https://publications.waset.org/abstracts/search?q=Aminur%20Rahman%20Khan"> Aminur Rahman Khan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we formulate a new problem as a linear programming and Integer Programming problem and maximize profit within the limited budget and limited resources based on the construction of a tea garden problem. It describes a new idea about how to optimize profit and focuses on the practical aspects of modeling and the challenges of providing a solution to a complex real life problem. Finally, a comparative study is carried out among Graphical method, Simplex method and Branch and bound method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=integer%20programming" title="integer programming">integer programming</a>, <a href="https://publications.waset.org/abstracts/search?q=tea%20garden" title=" tea garden"> tea garden</a>, <a href="https://publications.waset.org/abstracts/search?q=graphical%20method" title=" graphical method"> graphical method</a>, <a href="https://publications.waset.org/abstracts/search?q=simplex%20method" title=" simplex method"> simplex method</a>, <a href="https://publications.waset.org/abstracts/search?q=branch%20and%20bound%20method" title=" branch and bound method"> branch and bound method</a> </p> <a href="https://publications.waset.org/abstracts/2584/an-efficient-approach-to-optimize-the-cost-and-profit-of-a-tea-garden-by-using-branch-and-bound-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2584.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">623</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18921</span> Sewer Culvert Installation Method to Accommodate Underground Construction in an Urban Area with Narrow Streets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Osamu%20Igawa">Osamu Igawa</a>, <a href="https://publications.waset.org/abstracts/search?q=Hiroshi%20Kouchiwa"> Hiroshi Kouchiwa</a>, <a href="https://publications.waset.org/abstracts/search?q=Yuji%20Ito"> Yuji Ito</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In recent years, a reconstruction project for sewer pipelines has been progressing in Japan with the aim of renewing old sewer culverts. However, it is difficult to secure a sufficient base area for shafts in an urban area because many streets are narrow with a complex layout. As a result, construction in such urban areas is generally very demanding. In urban areas, there is a strong requirement for a safe, reliable and economical construction method that does not disturb the public’s daily life and urban activities. With this in mind, we developed a new construction method called the 'shield switching type micro-tunneling method' which integrates the micro-tunneling method and shield method. In this method, pipeline is constructed first for sections that are gently curved or straight using the economical micro-tunneling method, and then the method is switched to the shield method for sections with a sharp curve or a series of curves without establishing an intermediate shaft. This paper provides the information, features and construction examples of this newly developed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=micro-tunneling%20method" title="micro-tunneling method">micro-tunneling method</a>, <a href="https://publications.waset.org/abstracts/search?q=secondary%20lining%20applied%20RC%20segment" title=" secondary lining applied RC segment"> secondary lining applied RC segment</a>, <a href="https://publications.waset.org/abstracts/search?q=sharp%20curve" title=" sharp curve"> sharp curve</a>, <a href="https://publications.waset.org/abstracts/search?q=shield%20method" title=" shield method"> shield method</a>, <a href="https://publications.waset.org/abstracts/search?q=switching%20type" title=" switching type"> switching type</a> </p> <a href="https://publications.waset.org/abstracts/4418/sewer-culvert-installation-method-to-accommodate-underground-construction-in-an-urban-area-with-narrow-streets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/4418.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">404</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18920</span> Direct Transient Stability Assessment of Stressed Power Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=E.%20Popov">E. Popov</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Yorino"> N. Yorino</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Zoka"> Y. Zoka</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Sasaki"> Y. Sasaki</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Sugihara"> H. Sugihara</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper discusses the performance of critical trajectory method (CTrj) for power system transient stability analysis under various loading settings and heavy fault condition. The method obtains Controlling Unstable Equilibrium Point (CUEP) which is essential for estimation of power system stability margins. The CUEP is computed by applying the CTrjto the boundary controlling unstable equilibrium point (BCU) method. The Proposed method computes a trajectory on the stability boundary that starts from the exit point and reaches CUEP under certain assumptions. The robustness and effectiveness of the method are demonstrated via six power system models and five loading conditions. As benchmark is used conventional simulation method whereas the performance is compared with and BCU Shadowing method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=power%20system" title="power system">power system</a>, <a href="https://publications.waset.org/abstracts/search?q=transient%20stability" title=" transient stability"> transient stability</a>, <a href="https://publications.waset.org/abstracts/search?q=critical%20trajectory%20method" title=" critical trajectory method"> critical trajectory method</a>, <a href="https://publications.waset.org/abstracts/search?q=energy%20function%20method" title=" energy function method"> energy function method</a> </p> <a href="https://publications.waset.org/abstracts/9481/direct-transient-stability-assessment-of-stressed-power-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9481.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">386</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18919</span> Constant Order Predictor Corrector Method for the Solution of Modeled Problems of First Order IVPs of ODEs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20A.%20James">A. A. James</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20O.%20Adesanya"> A. O. Adesanya</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20R.%20Odekunle"> M. R. Odekunle</a>, <a href="https://publications.waset.org/abstracts/search?q=D.%20G.%20Yakubu"> D. G. Yakubu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper examines the development of one step, five hybrid point method for the solution of first order initial value problems. We adopted the method of collocation and interpolation of power series approximate solution to generate a continuous linear multistep method. The continuous linear multistep method was evaluated at selected grid points to give the discrete linear multistep method. The method was implemented using a constant order predictor of order seven over an overlapping interval. The basic properties of the derived corrector was investigated and found to be zero stable, consistent and convergent. The region of absolute stability was also investigated. The method was tested on some numerical experiments and found to compete favorably with the existing methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=interpolation" title="interpolation">interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=approximate%20solution" title=" approximate solution"> approximate solution</a>, <a href="https://publications.waset.org/abstracts/search?q=collocation" title=" collocation"> collocation</a>, <a href="https://publications.waset.org/abstracts/search?q=differential%20system" title=" differential system"> differential system</a>, <a href="https://publications.waset.org/abstracts/search?q=half%20step" title=" half step"> half step</a>, <a href="https://publications.waset.org/abstracts/search?q=converges" title=" converges"> converges</a>, <a href="https://publications.waset.org/abstracts/search?q=block%20method" title=" block method"> block method</a>, <a href="https://publications.waset.org/abstracts/search?q=efficiency" title=" efficiency"> efficiency</a> </p> <a href="https://publications.waset.org/abstracts/1645/constant-order-predictor-corrector-method-for-the-solution-of-modeled-problems-of-first-order-ivps-of-odes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1645.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">337</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18918</span> Development of 3D Particle Method for Calculating Large Deformation of Soils </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sung-Sik%20Park">Sung-Sik Park</a>, <a href="https://publications.waset.org/abstracts/search?q=Han%20Chang"> Han Chang</a>, <a href="https://publications.waset.org/abstracts/search?q=Kyung-Hun%20Chae"> Kyung-Hun Chae</a>, <a href="https://publications.waset.org/abstracts/search?q=Sae-Byeok%20Lee"> Sae-Byeok Lee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, a three-dimensional (3D) Particle method without using grid was developed for analyzing large deformation of soils instead of using ordinary finite element method (FEM) or finite difference method (FDM). In the 3D Particle method, the governing equations were discretized by various particle interaction models corresponding to differential operators such as gradient, divergence, and Laplacian. The Mohr-Coulomb failure criterion was incorporated into the 3D Particle method to determine soil failure. The yielding and hardening behavior of soil before failure was also considered by varying viscosity of soil. First of all, an unconfined compression test was carried out and the large deformation following soil yielding or failure was simulated by the developed 3D Particle method. The results were also compared with those of a commercial FEM software PLAXIS 3D. The developed 3D Particle method was able to simulate the 3D large deformation of soils due to soil yielding and calculate the variation of normal and shear stresses following clay deformation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=particle%20method" title="particle method">particle method</a>, <a href="https://publications.waset.org/abstracts/search?q=large%20deformation" title=" large deformation"> large deformation</a>, <a href="https://publications.waset.org/abstracts/search?q=soil%20column" title=" soil column"> soil column</a>, <a href="https://publications.waset.org/abstracts/search?q=confined%20compressive%20stress" title=" confined compressive stress"> confined compressive stress</a> </p> <a href="https://publications.waset.org/abstracts/17371/development-of-3d-particle-method-for-calculating-large-deformation-of-soils" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17371.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">572</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18917</span> The Implementation of Secton Method for Finding the Root of Interpolation Function</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nur%20Rokhman">Nur Rokhman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A mathematical function gives relationship between the variables composing the function. Interpolation can be viewed as a process of finding mathematical function which goes through some specified points. There are many interpolation methods, namely: Lagrange method, Newton method, Spline method etc. For some specific condition, such as, big amount of interpolation points, the interpolation function can not be written explicitly. This such function consist of computational steps. The solution of equations involving the interpolation function is a problem of solution of non linear equation. Newton method will not work on the interpolation function, for the derivative of the interpolation function cannot be written explicitly. This paper shows the use of Secton method to determine the numerical solution of the function involving the interpolation function. The experiment shows the fact that Secton method works better than Newton method in finding the root of Lagrange interpolation function. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Secton%20method" title="Secton method">Secton method</a>, <a href="https://publications.waset.org/abstracts/search?q=interpolation" title=" interpolation"> interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=non%20linear%20function" title=" non linear function"> non linear function</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20solution" title=" numerical solution"> numerical solution</a> </p> <a href="https://publications.waset.org/abstracts/1837/the-implementation-of-secton-method-for-finding-the-root-of-interpolation-function" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1837.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">379</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18916</span> Ductility Spectrum Method for the Design and Verification of Structures </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=B.%20Chikh">B. Chikh</a>, <a href="https://publications.waset.org/abstracts/search?q=L.%20Moussa"> L. Moussa</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Bechtoula"> H. Bechtoula</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Mehani"> Y. Mehani</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Zerzour"> A. Zerzour </a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study presents a new method, applicable to evaluation and design of structures has been developed and illustrated by comparison with the capacity spectrum method (CSM, ATC-40). This method uses inelastic spectra and gives peak responses consistent with those obtained when using the nonlinear time history analysis. Hereafter, the seismic demands assessment method is called in this paper DSM, Ductility Spectrum Method. It is used to estimate the seismic deformation of Single-Degree-Of-Freedom (SDOF) systems based on DDRS, Ductility Demand Response Spectrum, developed by the author. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=seismic%20demand" title="seismic demand">seismic demand</a>, <a href="https://publications.waset.org/abstracts/search?q=capacity" title=" capacity"> capacity</a>, <a href="https://publications.waset.org/abstracts/search?q=inelastic%20spectra" title=" inelastic spectra"> inelastic spectra</a>, <a href="https://publications.waset.org/abstracts/search?q=design%20and%20structure" title=" design and structure"> design and structure</a> </p> <a href="https://publications.waset.org/abstracts/1850/ductility-spectrum-method-for-the-design-and-verification-of-structures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1850.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">396</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18915</span> Top-Down Construction Method in Concrete Structures: Advantages and Disadvantages of This Construction Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hadi%20Rouhi%20Belvirdi">Hadi Rouhi Belvirdi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The construction of underground structures using the traditional method, which begins with excavation and the implementation of the foundation of the underground structure, continues with the construction of the main structure from the ground up, and concludes with the completion of the final ceiling, is known as the Bottom-Up Method. In contrast to this method, there is an advanced technique called the Top-Down Method, which has practically replaced the traditional construction method in large projects in industrialized countries in recent years. Unlike the traditional approach, this method starts with the construction of surrounding walls, columns, and the final ceiling and is completed with the excavation and construction of the foundation of the underground structure. Some of the most significant advantages of this method include the elimination or minimization of formwork surfaces, the removal of temporary bracing during excavation, the creation of some traffic facilities during the construction of the structure, and the possibility of using it in limited and high-traffic urban spaces. Despite these numerous advantages, unfortunately, there is still insufficient awareness of this method in our country, to the extent that it can be confidently stated that most stakeholders in the construction industry are unaware of the existence of such a construction method. However, it can be utilized as a very important execution option alongside other conventional methods in the construction of underground structures. Therefore, due to the extensive practical capabilities of this method, this article aims to present a methodology for constructing underground structures based on the aforementioned advanced method to the scientific community of the country, examine the advantages and limitations of this method and their impacts on time and costs, and discuss its application in urban spaces. Finally, some underground structures executed in the Ahvaz urban rail, which are being implemented using this advanced method to the best of our best knowledge, will be introduced. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=top-down%20method" title="top-down method">top-down method</a>, <a href="https://publications.waset.org/abstracts/search?q=bottom-up%20method" title=" bottom-up method"> bottom-up method</a>, <a href="https://publications.waset.org/abstracts/search?q=underground%20structure" title=" underground structure"> underground structure</a>, <a href="https://publications.waset.org/abstracts/search?q=construction%20method" title=" construction method"> construction method</a> </p> <a href="https://publications.waset.org/abstracts/191086/top-down-construction-method-in-concrete-structures-advantages-and-disadvantages-of-this-construction-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/191086.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">12</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18914</span> Stating Best Commercialization Method: An Unanswered Question from Scholars and Practitioners</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Saheed%20A.%20Gbadegeshin">Saheed A. Gbadegeshin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Commercialization method is a means to make inventions available at the market for final consumption. It is described as an important tool for keeping business enterprises sustainable and improving national economic growth. Thus, there are several scholarly publications on it, either presenting or testing different methods for commercialization. However, young entrepreneurs, technologists and scientists would like to know the best method to commercialize their innovations. Then, this question arises: What is the best commercialization method? To answer the question, a systematic literature review was conducted, and practitioners were interviewed. The literary results revealed that there are many methods but new methods are needed to improve commercialization especially during these times of economic crisis and political uncertainty. Similarly, the empirical results showed there are several methods, but the best method is the one that reduces costs, reduces the risks associated with uncertainty, and improves customer participation and acceptability. Therefore, it was concluded that new commercialization method is essential for today's high technologies and a method was presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=commercialization%20method" title="commercialization method">commercialization method</a>, <a href="https://publications.waset.org/abstracts/search?q=technology" title=" technology"> technology</a>, <a href="https://publications.waset.org/abstracts/search?q=knowledge" title=" knowledge"> knowledge</a>, <a href="https://publications.waset.org/abstracts/search?q=intellectual%20property" title=" intellectual property"> intellectual property</a>, <a href="https://publications.waset.org/abstracts/search?q=innovation" title=" innovation"> innovation</a>, <a href="https://publications.waset.org/abstracts/search?q=invention" title=" invention"> invention</a> </p> <a href="https://publications.waset.org/abstracts/64646/stating-best-commercialization-method-an-unanswered-question-from-scholars-and-practitioners" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64646.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">342</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18913</span> Critical Comparison of Two Teaching Methods: The Grammar Translation Method and the Communicative Teaching Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aicha%20Zohbie">Aicha Zohbie</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The purpose of this paper is to critically compare two teaching methods: the communicative method and the grammar-translation method. The paper presents the importance of language awareness as an approach to teaching and learning language and some challenges that language teachers face. In addition, the paper strives to determine whether the adoption of communicative teaching methods or the grammar teaching method would be more effective to teach a language. A variety of features are considered for comparing the two methods: the purpose of each method, techniques used, teachers’ and students’ roles, the use of L1, the skills that are emphasized, the correction of students’ errors, and the students’ assessments. Finally, the paper includes suggestions and recommendations for implementing an approach that best meets the students’ needs in a classroom. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=language%20teaching%20methods" title="language teaching methods">language teaching methods</a>, <a href="https://publications.waset.org/abstracts/search?q=language%20awareness" title=" language awareness"> language awareness</a>, <a href="https://publications.waset.org/abstracts/search?q=communicative%20method%20grammar%20translation%20method" title=" communicative method grammar translation method"> communicative method grammar translation method</a>, <a href="https://publications.waset.org/abstracts/search?q=advantages%20and%20disadvantages" title=" advantages and disadvantages"> advantages and disadvantages</a> </p> <a href="https://publications.waset.org/abstracts/150192/critical-comparison-of-two-teaching-methods-the-grammar-translation-method-and-the-communicative-teaching-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/150192.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">151</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18912</span> Numerical Iteration Method to Find New Formulas for Nonlinear Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kholod%20Mohammad%20Abualnaja">Kholod Mohammad Abualnaja</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A new algorithm is presented to find some new iterative methods for solving nonlinear equations F(x)=0 by using the variational iteration method. The efficiency of the considered method is illustrated by example. The results show that the proposed iteration technique, without linearization or small perturbation, is very effective and convenient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=variational%20iteration%20method" title="variational iteration method">variational iteration method</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20equations" title=" nonlinear equations"> nonlinear equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multiplier" title=" Lagrange multiplier"> Lagrange multiplier</a>, <a href="https://publications.waset.org/abstracts/search?q=algorithms" title=" algorithms "> algorithms </a> </p> <a href="https://publications.waset.org/abstracts/12184/numerical-iteration-method-to-find-new-formulas-for-nonlinear-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12184.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">545</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18911</span> Comparison of Finite-Element and IEC Methods for Cable Thermal Analysis under Various Operating Environments</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20S.%20Baazzim">M. S. Baazzim</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20S.%20Al-Saud"> M. S. Al-Saud</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20A.%20El-Kady"> M. A. El-Kady</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, steady-state ampacity (current carrying capacity) evaluation of underground power cable system by using analytical and numerical methods for different conditions (depth of cable, spacing between phases, soil thermal resistivity, ambient temperature, wind speed), for two system voltage level were used 132 and 380 kV. The analytical method or traditional method that was used is based on the thermal analysis method developed by Neher-McGrath and further enhanced by International Electrotechnical Commission (IEC) and published in standard IEC 60287. The numerical method that was used is finite element method and it was recourse commercial software based on finite element method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cable%20ampacity" title="cable ampacity">cable ampacity</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title=" finite element method"> finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=underground%20cable" title=" underground cable"> underground cable</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20rating" title=" thermal rating"> thermal rating</a> </p> <a href="https://publications.waset.org/abstracts/6273/comparison-of-finite-element-and-iec-methods-for-cable-thermal-analysis-under-various-operating-environments" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6273.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">379</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18910</span> Multistage Adomian Decomposition Method for Solving Linear and Non-Linear Stiff System of Ordinary Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20S.%20H.%20Chowdhury">M. S. H. Chowdhury</a>, <a href="https://publications.waset.org/abstracts/search?q=Ishak%20Hashim"> Ishak Hashim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multi-stage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standard ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). The MADM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) and the classical ADM demonstrate the limitations of ADM and promising capability of the MADM for solving stiff initial value problems (IVPs). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=stiff%20system%20of%20ODEs" title="stiff system of ODEs">stiff system of ODEs</a>, <a href="https://publications.waset.org/abstracts/search?q=Runge-Kutta%20Type%20Method" title=" Runge-Kutta Type Method"> Runge-Kutta Type Method</a>, <a href="https://publications.waset.org/abstracts/search?q=Adomian%20decomposition%20method" title=" Adomian decomposition method"> Adomian decomposition method</a>, <a href="https://publications.waset.org/abstracts/search?q=Multistage%20ADM" title=" Multistage ADM"> Multistage ADM</a> </p> <a href="https://publications.waset.org/abstracts/41137/multistage-adomian-decomposition-method-for-solving-linear-and-non-linear-stiff-system-of-ordinary-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41137.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">436</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Socratic%20method&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Socratic%20method&page=3">3</a></li> <li class="page-item"><a class="page-link" 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