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linearization</title> <meta name="description" content="Search results for: second order linearization"> <meta name="keywords" content="second order linearization"> <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 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action="https://publications.waset.org/abstracts/search"> <div 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="second order linearization"> <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> 13736</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: second order linearization</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">13676</span> Characterization of Probability Distributions through Conditional Expectation of Pair of Generalized Order Statistics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zubdahe%20Noor">Zubdahe Noor</a>, <a href="https://publications.waset.org/abstracts/search?q=Haseeb%20Athar"> Haseeb Athar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article, first a relation for conditional expectation is developed and then is used to characterize a general class of distributions F(x) = 1-e^(-ah(x)) through conditional expectation of difference of pair of generalized order statistics. Some results are reduced for particular cases. In the end, a list of distributions is presented in the form of table that are compatible with the given general class. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=generalized%20order%20statistics" title="generalized order statistics">generalized order statistics</a>, <a href="https://publications.waset.org/abstracts/search?q=order%20statistics" title=" order statistics"> order statistics</a>, <a href="https://publications.waset.org/abstracts/search?q=record%20values" title=" record values"> record values</a>, <a href="https://publications.waset.org/abstracts/search?q=conditional%20expectation" title=" conditional expectation"> conditional expectation</a>, <a href="https://publications.waset.org/abstracts/search?q=characterization" title=" characterization"> characterization</a> </p> <a href="https://publications.waset.org/abstracts/22898/characterization-of-probability-distributions-through-conditional-expectation-of-pair-of-generalized-order-statistics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22898.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">460</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">13675</span> Numerical Solution of Space Fractional Order Solute Transport System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shubham%20Jaiswal">Shubham Jaiswal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present article, a drive is taken to compute the solution of spatial fractional order advection-dispersion equation having source/sink term with given initial and boundary conditions. The equation is converted to a system of ordinary differential equations using second-kind shifted Chebyshev polynomials, which have finally been solved using finite difference method. The striking feature of the article is the fast transportation of solute concentration as and when the system approaches fractional order from standard order for specified values of the parameters of the system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=spatial%20fractional%20order%20advection-dispersion%20equation" title="spatial fractional order advection-dispersion equation">spatial fractional order advection-dispersion equation</a>, <a href="https://publications.waset.org/abstracts/search?q=second-kind%20shifted%20Chebyshev%20polynomial" title=" second-kind shifted Chebyshev polynomial"> second-kind shifted Chebyshev polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=collocation%20method" title=" collocation method"> collocation method</a>, <a href="https://publications.waset.org/abstracts/search?q=conservative%20system" title=" conservative system"> conservative system</a>, <a href="https://publications.waset.org/abstracts/search?q=non-conservative%20system" title=" non-conservative system"> non-conservative system</a> </p> <a href="https://publications.waset.org/abstracts/80604/numerical-solution-of-space-fractional-order-solute-transport-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/80604.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">261</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">13674</span> Prioritization of Customer Order Selection Factors by Utilizing Conjoint Analysis: A Case Study for a Structural Steel Firm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Burcu%20Akyildiz">Burcu Akyildiz</a>, <a href="https://publications.waset.org/abstracts/search?q=Cigdem%20Kadaifci"> Cigdem Kadaifci</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Ilker%20Topcu"> Y. Ilker Topcu</a>, <a href="https://publications.waset.org/abstracts/search?q=Burc%20Ulengin"> Burc Ulengin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In today’s business environment, companies should make strategic decisions to gain sustainable competitive advantage. Order selection is a crucial issue among these decisions especially for steel production industry. When the companies allocate a high proportion of their design and production capacities to their ongoing projects, determining which customer order should be chosen among the potential orders without exceeding the remaining capacity is the major critical problem. In this study, it is aimed to identify and prioritize the evaluation factors for the customer order selection problem. Conjoint analysis is used to examine the importance level of each factor which is determined as the potential profit rate per unit of time, the compatibility of potential order with available capacity, the level of potential future order with higher profit, customer credit of future business opportunity, and the negotiability level of production schedule for the order. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=conjoint%20analysis" title="conjoint analysis">conjoint analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=order%20prioritization" title=" order prioritization"> order prioritization</a>, <a href="https://publications.waset.org/abstracts/search?q=profit%20management" title=" profit management"> profit management</a>, <a href="https://publications.waset.org/abstracts/search?q=structural%20steel%20firm" title=" structural steel firm"> structural steel firm</a> </p> <a href="https://publications.waset.org/abstracts/2201/prioritization-of-customer-order-selection-factors-by-utilizing-conjoint-analysis-a-case-study-for-a-structural-steel-firm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2201.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">384</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">13673</span> Time/Temperature-Dependent Finite Element Model of Laminated Glass Beams</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alena%20Zemanov%C3%A1">Alena Zemanová</a>, <a href="https://publications.waset.org/abstracts/search?q=Jan%20Zeman"> Jan Zeman</a>, <a href="https://publications.waset.org/abstracts/search?q=Michal%20%C5%A0ejnoha"> Michal Šejnoha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The polymer foil used for manufacturing of laminated glass members behaves in a viscoelastic manner with temperature dependence. This contribution aims at incorporating the time/temperature-dependent behavior of interlayer to our earlier elastic finite element model for laminated glass beams. The model is based on a refined beam theory: each layer behaves according to the finite-strain shear deformable formulation by Reissner and the adjacent layers are connected via the Lagrange multipliers ensuring the inter-layer compatibility of a laminated unit. The time/temperature-dependent behavior of the interlayer is accounted for by the generalized Maxwell model and by the time-temperature superposition principle due to the Williams, Landel, and Ferry. The resulting system is solved by the Newton method with consistent linearization and the viscoelastic response is determined incrementally by the exponential algorithm. By comparing the model predictions against available experimental data, we demonstrate that the proposed formulation is reliable and accurately reproduces the behavior of the laminated glass units. <p class="card-text"><strong>Keywords:</strong> <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=finite-strain%20Reissner%20model" title=" finite-strain Reissner model"> finite-strain Reissner model</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multipliers" title=" Lagrange multipliers"> Lagrange multipliers</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20Maxwell%20model" title=" generalized Maxwell model"> generalized Maxwell model</a>, <a href="https://publications.waset.org/abstracts/search?q=laminated%20glass" title=" laminated glass"> laminated glass</a>, <a href="https://publications.waset.org/abstracts/search?q=Newton%20method" title=" Newton method"> Newton method</a>, <a href="https://publications.waset.org/abstracts/search?q=Williams-Landel-Ferry%20equation" title=" Williams-Landel-Ferry equation"> Williams-Landel-Ferry equation</a> </p> <a href="https://publications.waset.org/abstracts/22985/timetemperature-dependent-finite-element-model-of-laminated-glass-beams" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22985.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">431</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">13672</span> Modeling Corruption Dynamics Within Bono and Ahafo Police Service in Ghana</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Adam%20Ahmed%20Hosney">Adam Ahmed Hosney</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The existence of a culture of corruption within an institution, such as the police, could be a sign of failure from various angles. There is a general perception among Ghanaians that the most corrupt institution is the police service. The purpose of this study is to formulate and analyze a nonlinear mathematical model to investigate corruption as an epidemic within the Ghana police service, this study revealed the basic reproduction number for corruption extinction and corruption survival. The threshold conditions for all kinds of equilibrium points are obtained using linearization methods and Lyapunov functional methods, and they demonstrate local asymptotic stability for both corrupt endemic and corrupt free equilibrium states. The model was analyzed qualitatively, and the solution was derived. The model appears to be positively invariant and attractive. Therefore, the region exhibits positive invariance. Thus, it is adequate to think about the dynamics of the model. For the purpose of illustrating the solution, the graphic result was presented and discussed. Results show that corruption will die out within the police service if the government shows no tolerance for those involved in corrupt practices. Study findings indicate that leaders should be trustworthy, demonstrate a complete and viable commitment to addressing corruption, and make it a priority to provide mass education to all citizens as well as using religious leaders to fight corruption since most Ghanaians are religious and trust their leaders. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mathematical%20model" title="mathematical model">mathematical model</a>, <a href="https://publications.waset.org/abstracts/search?q=differential%20equation" title=" differential equation"> differential equation</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamical%20system" title=" dynamical system"> dynamical system</a>, <a href="https://publications.waset.org/abstracts/search?q=simulation" title=" simulation"> simulation</a> </p> <a href="https://publications.waset.org/abstracts/189912/modeling-corruption-dynamics-within-bono-and-ahafo-police-service-in-ghana" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/189912.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">26</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">13671</span> Second-Order Slip Flow and Heat Transfer in a Long Isothermal Microchannel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Huei%20Chu%20Weng">Huei Chu Weng</a>, <a href="https://publications.waset.org/abstracts/search?q=Chien-Hung%20Liu"> Chien-Hung Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a study on the effect of second-order slip and jump on forced convection through a long isothermally heated or cooled planar microchannel. The fully developed solutions of thermal flow fields are analytically obtained on the basis of the second-order Maxwell-Burnett slip and Smoluchowski jump boundary conditions. Results reveal that the second-order term in the Karniadakis slip boundary condition is found to contribute a negative velocity slip and then to lead to a higher pressure drop as well as a higher fluid temperature for the heated-wall case or to a lower fluid temperature for the cooled-wall case. These findings are contrary to predictions made by the Deissler model. In addition, the role of second-order slip becomes more significant when the Knudsen number increases. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=microfluidics" title="microfluidics">microfluidics</a>, <a href="https://publications.waset.org/abstracts/search?q=forced%20convection" title=" forced convection"> forced convection</a>, <a href="https://publications.waset.org/abstracts/search?q=gas%20rarefaction" title=" gas rarefaction"> gas rarefaction</a>, <a href="https://publications.waset.org/abstracts/search?q=second-order%20boundary%20conditions" title=" second-order boundary conditions"> second-order boundary conditions</a> </p> <a href="https://publications.waset.org/abstracts/26201/second-order-slip-flow-and-heat-transfer-in-a-long-isothermal-microchannel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/26201.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">450</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">13670</span> Visual Analytics of Higher Order Information for Trajectory Datasets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ye%20Wang">Ye Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Ickjai%20Lee"> Ickjai Lee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Due to the widespread of mobile sensing, there is a strong need to handle trails of moving objects, trajectories. This paper proposes three visual analytic approaches for higher order information of trajectory data sets based on the higher order Voronoi diagram data structure. Proposed approaches reveal geometrical information, topological, and directional information. Experimental results demonstrate the applicability and usefulness of proposed three approaches. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=visual%20analytics" title="visual analytics">visual analytics</a>, <a href="https://publications.waset.org/abstracts/search?q=higher%20order%20information" title=" higher order information"> higher order information</a>, <a href="https://publications.waset.org/abstracts/search?q=trajectory%20datasets" title=" trajectory datasets"> trajectory datasets</a>, <a href="https://publications.waset.org/abstracts/search?q=spatio-temporal%20data" title=" spatio-temporal data"> spatio-temporal data</a> </p> <a href="https://publications.waset.org/abstracts/2630/visual-analytics-of-higher-order-information-for-trajectory-datasets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2630.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">402</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">13669</span> Optimization of Fourth Order Discrete-Approximation Inclusions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Elimhan%20N.%20Mahmudov">Elimhan N. Mahmudov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper concerns the necessary and sufficient conditions of optimality for Cauchy problem of fourth order discrete (PD) and discrete-approximate (PDA) inclusions. The main problem is formulation of the fourth order adjoint discrete and discrete-approximate inclusions and transversality conditions, which are peculiar to problems including fourth order derivatives and approximate derivatives. Thus the necessary and sufficient conditions of optimality are obtained incorporating the Euler-Lagrange and Hamiltonian forms of inclusions. Derivation of optimality conditions are based on the apparatus of locally adjoint mapping (LAM). Moreover in the application of these results we consider the fourth order linear discrete and discrete-approximate inclusions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=difference" title="difference">difference</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=fourth" title=" fourth"> fourth</a>, <a href="https://publications.waset.org/abstracts/search?q=approximation" title=" approximation"> approximation</a>, <a href="https://publications.waset.org/abstracts/search?q=transversality" title=" transversality"> transversality</a> </p> <a href="https://publications.waset.org/abstracts/25199/optimization-of-fourth-order-discrete-approximation-inclusions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25199.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">374</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">13668</span> Order Fulfilment Strategy in E-Commerce Warehouse Based on Simulation: Business Customers Case</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aurelija%20Burinskiene">Aurelija Burinskiene</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents the study for an e-commerce warehouse. The study is aiming to improve order fulfillment activity by identifying the strategy presenting the best performance. A simulation model was proposed to reach the target of this research. This model enables various scenario tests in an e-commerce warehouse, allowing them to find out for the best order fulfillment strategy. By using simulation, model authors investigated customers’ orders representing on-line purchases for one month. Experiments were designed to evaluate various order picking methods applicable to the fulfillment of customers’ orders. The research uses cost components analysis and helps to identify the best possible order picking method improving the overall performance of e-commerce warehouse and fulfillment service to the customers. The results presented show that the application of order batching strategy is the most applicable because it brings distance savings of around 6.7 percentage. This result could be improved by taking an assortment clustering action until 8.34 percentage. So, the recommendations were given to apply the method for future e-commerce warehouse operations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=e-commerce" title="e-commerce">e-commerce</a>, <a href="https://publications.waset.org/abstracts/search?q=order" title=" order"> order</a>, <a href="https://publications.waset.org/abstracts/search?q=fulfilment" title=" fulfilment"> fulfilment</a>, <a href="https://publications.waset.org/abstracts/search?q=strategy" title=" strategy"> strategy</a>, <a href="https://publications.waset.org/abstracts/search?q=simulation" title=" simulation"> simulation</a> </p> <a href="https://publications.waset.org/abstracts/113572/order-fulfilment-strategy-in-e-commerce-warehouse-based-on-simulation-business-customers-case" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/113572.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">150</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">13667</span> The Interpretation of World Order by Epistemic Communities in Security Studies</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gabriel%20A.%20Orozco">Gabriel A. Orozco</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The purpose of this article is to make an approach to the Security Studies, exposing their theories and concepts to understand the role that have had in the interpretation of the changes and continuities of the world order and their impact on policies or decision-making facing the problems of the 21st century. The aim is to build a bridge between the security studies as a subfield and the meaning that has been given to the world order. The idea of epistemic communities serves as a methodological proposal about the different programs of research in security studies, showing their influence in the realities of States, intergovernmental organizations and transnational forces, moving to implement, perpetuate and project a vision of the world order. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=security%20studies" title="security studies">security studies</a>, <a href="https://publications.waset.org/abstracts/search?q=epistemic%20communities" title=" epistemic communities"> epistemic communities</a>, <a href="https://publications.waset.org/abstracts/search?q=international" title=" international"> international</a>, <a href="https://publications.waset.org/abstracts/search?q=relations" title=" relations"> relations</a> </p> <a href="https://publications.waset.org/abstracts/29721/the-interpretation-of-world-order-by-epistemic-communities-in-security-studies" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29721.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">269</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">13666</span> Development of Residual Power Series Methods for Efficient Solutions of Stiff Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gebreegziabher%20Hailu">Gebreegziabher Hailu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents the development of residual power series methods aimed at efficiently solving stiff differential equations, which pose significant challenges in numerical analysis due to their rapid changes in solution behavior. The RPSM is a numerical approach that generates polynomial-based approximate solutions without the need for linearization, discretization, or perturbation techniques, making it straightforward to implement and less prone to computational errors. We introduce an approach that utilizes power series expansions combined with residual minimization techniques to enhance convergence and stability. By analyzing the theoretical foundations of stiffness, we delve into the formulation of the residual power series method, detailing how it effectively captures the dynamics of stiff systems while maintaining computational efficiency. Numerical experiments demonstrate the method's superiority in terms of accuracy and computational cost when compared to traditional methods like implicit Runge-Kutta or multistep techniques. We also explore adaptive strategies within our framework to automatically adjust parameters based on the stiffness characteristics of the problem at hand. Ultimately, our findings contribute to the broader toolkit for tackling stiff differential equations, offering a robust alternative that promises to streamline computational workflows in various applied mathematics and engineering contexts. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=residual%20power%20series%20methods" title="residual power series methods">residual power series methods</a>, <a href="https://publications.waset.org/abstracts/search?q=stiff%20differential%20equoations" title=" stiff differential equoations"> stiff differential equoations</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20approach" title=" numerical approach"> numerical approach</a>, <a href="https://publications.waset.org/abstracts/search?q=Runge%20Kutta%20methods" title=" Runge Kutta methods"> Runge Kutta methods</a> </p> <a href="https://publications.waset.org/abstracts/192125/development-of-residual-power-series-methods-for-efficient-solutions-of-stiff-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/192125.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">22</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">13665</span> Application of Low-order Modeling Techniques and Neural-Network Based Models for System Identification</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Venkatesh%20Pulletikurthi">Venkatesh Pulletikurthi</a>, <a href="https://publications.waset.org/abstracts/search?q=Karthik%20B.%20Ariyur"> Karthik B. Ariyur</a>, <a href="https://publications.waset.org/abstracts/search?q=Luciano%20Castillo"> Luciano Castillo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The system identification from the turbulence wakes will lead to the tactical advantage to prepare and also, to predict the trajectory of the opponents’ movements. A low-order modeling technique, POD, is used to predict the object based on the wake pattern and compared with pre-trained image recognition neural network (NN) to classify the wake patterns into objects. It is demonstrated that low-order modeling, POD, is able to predict the objects better compared to pretrained NN by ~30%. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=the%20bluff%20body%20wakes" title="the bluff body wakes">the bluff body wakes</a>, <a href="https://publications.waset.org/abstracts/search?q=low-order%20modeling" title=" low-order modeling"> low-order modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=neural%20network" title=" neural network"> neural network</a>, <a href="https://publications.waset.org/abstracts/search?q=system%20identification" title=" system identification"> system identification</a> </p> <a href="https://publications.waset.org/abstracts/146168/application-of-low-order-modeling-techniques-and-neural-network-based-models-for-system-identification" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/146168.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">180</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">13664</span> Observer-Based Leader-Following Consensus of Nonlinear Fractional-Order Multi-Agent Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ali%20Afaghi">Ali Afaghi</a>, <a href="https://publications.waset.org/abstracts/search?q=Sehraneh%20Ghaemi"> Sehraneh Ghaemi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The coordination of the multi-agent systems has been one of the interesting topic in recent years, because of its potential applications in many branches of science and engineering such as sensor networks, flocking, underwater vehicles and etc. In the most of the related studies, it is assumed that the dynamics of the multi-agent systems are integer-order and linear and the multi-agent systems with the fractional-order nonlinear dynamics are rarely considered. However many phenomena in nature cannot be described within integer-order and linear characteristics. This paper investigates the leader-following consensus problem for a class of nonlinear fractional-order multi-agent systems based on observer-based cooperative control. In the system, the dynamics of each follower and leader are nonlinear. For a multi-agent system with fixed directed topology firstly, an observer-based consensus protocol is proposed based on the relative observer states of neighboring agents. Secondly, based on the property of the stability theory of fractional-order system, some sufficient conditions are presented for the asymptotical stability of the observer-based fractional-order control systems. The proposed method is applied on a five-agent system with the fractional-order nonlinear dynamics and unavailable states. The simulation example shows that the proposed scenario results in the good performance and can be used in many practical applications. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fractional-order%20multi-agent%20systems" title="fractional-order multi-agent systems">fractional-order multi-agent systems</a>, <a href="https://publications.waset.org/abstracts/search?q=leader-following%20consensus" title=" leader-following consensus"> leader-following consensus</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20dynamics" title=" nonlinear dynamics"> nonlinear dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=directed%20graphs" title=" directed graphs"> directed graphs</a> </p> <a href="https://publications.waset.org/abstracts/67272/observer-based-leader-following-consensus-of-nonlinear-fractional-order-multi-agent-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/67272.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">398</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">13663</span> New High Order Group Iterative Schemes in the Solution of Poisson Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sam%20Teek%20Ling">Sam Teek Ling</a>, <a href="https://publications.waset.org/abstracts/search?q=Norhashidah%20Hj.%20Mohd.%20Ali"> Norhashidah Hj. Mohd. Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We investigate the formulation and implementation of new explicit group iterative methods in solving the two-dimensional Poisson equation with Dirichlet boundary conditions. The methods are derived from a fourth order compact nine point finite difference discretization. The methods are compared with the existing second order standard five point formula to show the dramatic improvement in computed accuracy. Numerical experiments are presented to illustrate the effectiveness of the proposed methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=explicit%20group%20iterative%20method" title="explicit group iterative method">explicit group iterative method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference" title=" finite difference"> finite difference</a>, <a href="https://publications.waset.org/abstracts/search?q=fourth%20order%20compact" title=" fourth order compact"> fourth order compact</a>, <a href="https://publications.waset.org/abstracts/search?q=Poisson%20equation" title=" Poisson equation"> Poisson equation</a> </p> <a href="https://publications.waset.org/abstracts/1329/new-high-order-group-iterative-schemes-in-the-solution-of-poisson-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1329.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">432</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">13662</span> A Novel Fuzzy Second-Order Sliding Mode Control of a Doubly Fed Induction Generator for Wind Energy Conversion</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Elhadj%20Bounadja">Elhadj Bounadja</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohand%20Oulhadj%20Mahmoudi"> Mohand Oulhadj Mahmoudi</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdelkader%20Djahbar"> Abdelkader Djahbar</a>, <a href="https://publications.waset.org/abstracts/search?q=Zinelaabidine%20Boudjema"> Zinelaabidine Boudjema</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we present a novel fuzzy second-order sliding mode control (FSOSMC) for wind energy conversion system based on a doubly-fed induction generator (DFIG). The proposed control strategy combines a fuzzy logic and a second-order sliding mode for the DFIG control. This strategy presents attractive features such as chattering-free, compared to the conventional first and second order sliding mode techniques. The use of this method provides very satisfactory performance for the DFIG control. The overall strategy has been validated on a 1.5-MW wind turbine driven a DFIG using the Matlab/Simulink. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=doubly%20fed%20induction%20generator" title="doubly fed induction generator">doubly fed induction generator</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20second-order%20sliding%20mode%20controller" title=" fuzzy second-order sliding mode controller"> fuzzy second-order sliding mode controller</a>, <a href="https://publications.waset.org/abstracts/search?q=wind%20energy" title=" wind energy"> wind energy</a> </p> <a href="https://publications.waset.org/abstracts/29410/a-novel-fuzzy-second-order-sliding-mode-control-of-a-doubly-fed-induction-generator-for-wind-energy-conversion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29410.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">549</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">13661</span> Sixth-Order Two-Point Efficient Family of Super-Halley Type Methods</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ramandeep%20Behl">Ramandeep Behl</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20S.%20Motsa"> S. S. Motsa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main focus of this manuscript is to provide a highly efficient two-point sixth-order family of super-Halley type methods that do not require any second-order derivative evaluation for obtaining simple roots of nonlinear equations, numerically. Each member of the proposed family requires two evaluations of the given function and two evaluations of the first-order derivative per iteration. By using Mathematica-9 with its high precision compatibility, a variety of concrete numerical experiments and relevant results are extensively treated to confirm t he t heoretical d evelopment. From their basins of attraction, it has been observed that the proposed methods have better stability and robustness as compared to the other sixth-order methods available in the literature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=basins%20of%20attraction" title="basins of attraction">basins of attraction</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=simple%20roots" title=" simple roots"> simple roots</a>, <a href="https://publications.waset.org/abstracts/search?q=super-Halley" title=" super-Halley"> super-Halley</a> </p> <a href="https://publications.waset.org/abstracts/29042/sixth-order-two-point-efficient-family-of-super-halley-type-methods" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29042.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">518</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">13660</span> Sentence Structure for Free Word Order Languages in Context with Anaphora Resolution: A Case Study of Hindi </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Pardeep%20Singh">Pardeep Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Kamlesh%20Dutta"> Kamlesh Dutta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Many languages have fixed sentence structure and others are free word order. The accuracy of anaphora resolution of syntax based algorithm depends on structure of the sentence. So, it is important to analyze the structure of any language before implementing these algorithms. In this study, we analyzed the sentence structure exploiting the case marker in Hindi as well as some special tag for subject and object. We also investigated the word order for Hindi. Word order typology refers to the study of the order of the syntactic constituents of a language. We analyzed 165 news items of Ranchi Express from EMILEE corpus of plain text. It consisted of 1745 sentences. Eight file of dialogue based from the same corpus has been analyzed which will have 1521 sentences. The percentages of subject object verb structure (SOV) and object subject verb (OSV) are 66.90 and 33.10, respectively. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=anaphora%20resolution" title="anaphora resolution">anaphora resolution</a>, <a href="https://publications.waset.org/abstracts/search?q=free%20word%20order%20languages" title=" free word order languages"> free word order languages</a>, <a href="https://publications.waset.org/abstracts/search?q=SOV" title=" SOV"> SOV</a>, <a href="https://publications.waset.org/abstracts/search?q=OSV" title=" OSV"> OSV</a> </p> <a href="https://publications.waset.org/abstracts/9937/sentence-structure-for-free-word-order-languages-in-context-with-anaphora-resolution-a-case-study-of-hindi" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9937.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">472</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">13659</span> Second-Order Complex Systems: Case Studies of Autonomy and Free Will</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Eric%20Sanchis">Eric Sanchis</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Although there does not exist a definitive consensus on a precise definition of a complex system, it is generally considered that a system is complex by nature. The presented work illustrates a different point of view: a system becomes complex only with regard to the question posed to it, i.e., with regard to the problem which has to be solved. A complex system is a couple (question, object). Because the number of questions posed to a given object can be potentially substantial, complexity does not present a uniform face. Two types of complex systems are clearly identified: first-order complex systems and second-order complex systems. First-order complex systems physically exist. They are well-known because they have been studied by the scientific community for a long time. In second-order complex systems, complexity results from the system composition and its articulation that are partially unknown. For some of these systems, there is no evidence of their existence. Vagueness is the keyword characterizing this kind of systems. Autonomy and free will, two mental productions of the human cognitive system, can be identified as second-order complex systems. A classification based on the properties structure makes it possible to discriminate complex properties from the others and to model this kind of second order complex systems. The final outcome is an implementable synthetic property that distinguishes the solid aspects of the actual property from those that are uncertain. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=autonomy" title="autonomy">autonomy</a>, <a href="https://publications.waset.org/abstracts/search?q=free%20will" title=" free will"> free will</a>, <a href="https://publications.waset.org/abstracts/search?q=synthetic%20property" title=" synthetic property"> synthetic property</a>, <a href="https://publications.waset.org/abstracts/search?q=vaporous%20complex%20systems" title=" vaporous complex systems"> vaporous complex systems</a> </p> <a href="https://publications.waset.org/abstracts/88132/second-order-complex-systems-case-studies-of-autonomy-and-free-will" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/88132.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">205</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">13658</span> Singular Perturbed Vector Field Method Applied to the Problem of Thermal Explosion of Polydisperse Fuel Spray</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ophir%20Nave">Ophir Nave</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In our research, we present the concept of singularly perturbed vector field (SPVF) method, and its application to thermal explosion of diesel spray combustion. Given a system of governing equations, which consist of hidden Multi-scale variables, the SPVF method transfer and decompose such system to fast and slow singularly perturbed subsystems (SPS). The SPVF method enables us to understand the complex system, and simplify the calculations. Later powerful analytical, numerical and asymptotic methods (e.g method of integral (invariant) manifold (MIM), the homotopy analysis method (HAM) etc.) can be applied to each subsystem. We compare the results obtained by the methods of integral invariant manifold and SPVF apply to spray droplets combustion model. The research deals with the development of an innovative method for extracting fast and slow variables in physical mathematical models. The method that we developed called singular perturbed vector field. This method based on a numerical algorithm applied to global quasi linearization applied to given physical model. The SPVF method applied successfully to combustion processes. Our results were compared to experimentally results. The SPVF is a general numerical and asymptotical method that reveals the hierarchy (multi-scale system) of a given system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=polydisperse%20spray" title="polydisperse spray">polydisperse spray</a>, <a href="https://publications.waset.org/abstracts/search?q=model%20reduction" title=" model reduction"> model reduction</a>, <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20analysis" title=" asymptotic analysis"> asymptotic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-scale%20systems" title=" multi-scale systems"> multi-scale systems</a> </p> <a href="https://publications.waset.org/abstracts/71377/singular-perturbed-vector-field-method-applied-to-the-problem-of-thermal-explosion-of-polydisperse-fuel-spray" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/71377.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">219</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">13657</span> Zero-Dissipative Explicit Runge-Kutta Method for Periodic Initial Value Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20Senu">N. Senu</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20A.%20Kasim"> I. A. Kasim</a>, <a href="https://publications.waset.org/abstracts/search?q=F.%20Ismail"> F. Ismail</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Bachok"> N. Bachok</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation of order infinity. The numerical results for the new method are compared with existing method when solving the second-order differential equations with periodic solutions using constant step size. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dissipation" title="dissipation">dissipation</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillatory%20solutions" title=" oscillatory solutions"> oscillatory solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=phase-lag" title=" phase-lag"> phase-lag</a>, <a href="https://publications.waset.org/abstracts/search?q=Runge-Kutta%20methods" title=" Runge-Kutta methods "> Runge-Kutta methods </a> </p> <a href="https://publications.waset.org/abstracts/13272/zero-dissipative-explicit-runge-kutta-method-for-periodic-initial-value-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13272.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">411</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">13656</span> Line Heating Forming: Methodology and Application Using Kriging and Fifth Order Spline Formulations </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Henri%20Champliaud">Henri Champliaud</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhengkun%20Feng"> Zhengkun Feng</a>, <a href="https://publications.waset.org/abstracts/search?q=Ngan%20Van%20L%C3%AA"> Ngan Van Lê</a>, <a href="https://publications.waset.org/abstracts/search?q=Javad%20Gholipour"> Javad Gholipour</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article, a method is presented to effectively estimate the deformed shape of a thick plate due to line heating. The method uses a fifth order spline interpolation, with up to C3 continuity at specific points to compute the shape of the deformed geometry. First and second order derivatives over a surface are the resulting parameters of a given heating line on a plate. These parameters are determined through experiments and/or finite element simulations. Very accurate kriging models are fitted to real or virtual surfaces to build-up a database of maps. Maps of first and second order derivatives are then applied on numerical plate models to evaluate their evolving shapes through a sequence of heating lines. Adding an optimization process to this approach would allow determining the trajectories of heating lines needed to shape complex geometries, such as Francis turbine blades. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=deformation" title="deformation">deformation</a>, <a href="https://publications.waset.org/abstracts/search?q=kriging" title=" kriging"> kriging</a>, <a href="https://publications.waset.org/abstracts/search?q=fifth%20order%20spline%20interpolation" title=" fifth order spline interpolation"> fifth order spline interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=first" title=" first"> first</a>, <a href="https://publications.waset.org/abstracts/search?q=second%20and%20third%20order%20derivatives" title=" second and third order derivatives"> second and third order derivatives</a>, <a href="https://publications.waset.org/abstracts/search?q=C3%20continuity" title=" C3 continuity"> C3 continuity</a>, <a href="https://publications.waset.org/abstracts/search?q=line%20heating" title=" line heating"> line heating</a>, <a href="https://publications.waset.org/abstracts/search?q=plate%20forming" title=" plate forming"> plate forming</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20forming" title=" thermal forming"> thermal forming</a> </p> <a href="https://publications.waset.org/abstracts/31294/line-heating-forming-methodology-and-application-using-kriging-and-fifth-order-spline-formulations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31294.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">454</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">13655</span> On the Approximate Solution of Continuous Coefficients for Solving Third Order Ordinary Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20M.%20Sagir">A. M. Sagir</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper derived four newly schemes which are combined in order to form an accurate and efficient block method for parallel or sequential solution of third order ordinary differential equations of the form y^'''= f(x,y,y^',y^'' ), y(α)=y_0,〖y〗^' (α)=β,y^('' ) (α)=μ with associated initial or boundary conditions. The implementation strategies of the derived method have shown that the block method is found to be consistent, zero stable and hence convergent. The derived schemes were tested on stiff and non-stiff ordinary differential equations, and the numerical results obtained compared favorably with the exact solution. <p class="card-text"><strong>Keywords:</strong> <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=hybrid" title=" hybrid"> hybrid</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20multistep" title=" linear multistep"> linear multistep</a>, <a href="https://publications.waset.org/abstracts/search?q=self-starting" title=" self-starting"> self-starting</a>, <a href="https://publications.waset.org/abstracts/search?q=third%20order%20ordinary%20differential%20equations" title=" third order ordinary differential equations"> third order ordinary differential equations</a> </p> <a href="https://publications.waset.org/abstracts/3659/on-the-approximate-solution-of-continuous-coefficients-for-solving-third-order-ordinary-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3659.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">271</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">13654</span> Sparsity Order Selection and Denoising in Compressed Sensing Framework</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mahdi%20Shamsi">Mahdi Shamsi</a>, <a href="https://publications.waset.org/abstracts/search?q=Tohid%20Yousefi%20Rezaii"> Tohid Yousefi Rezaii</a>, <a href="https://publications.waset.org/abstracts/search?q=Siavash%20Eftekharifar"> Siavash Eftekharifar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Compressed sensing (CS) is a new powerful mathematical theory concentrating on sparse signals which is widely used in signal processing. The main idea is to sense sparse signals by far fewer measurements than the Nyquist sampling rate, but the reconstruction process becomes nonlinear and more complicated. Common dilemma in sparse signal recovery in CS is the lack of knowledge about sparsity order of the signal, which can be viewed as model order selection procedure. In this paper, we address the problem of sparsity order estimation in sparse signal recovery. This is of main interest in situations where the signal sparsity is unknown or the signal to be recovered is approximately sparse. It is shown that the proposed method also leads to some kind of signal denoising, where the observations are contaminated with noise. Finally, the performance of the proposed approach is evaluated in different scenarios and compared to an existing method, which shows the effectiveness of the proposed method in terms of order selection as well as denoising. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=compressed%20sensing" title="compressed sensing">compressed sensing</a>, <a href="https://publications.waset.org/abstracts/search?q=data%20denoising" title=" data denoising"> data denoising</a>, <a href="https://publications.waset.org/abstracts/search?q=model%20order%20selection" title=" model order selection"> model order selection</a>, <a href="https://publications.waset.org/abstracts/search?q=sparse%20representation" title=" sparse representation"> sparse representation</a> </p> <a href="https://publications.waset.org/abstracts/31470/sparsity-order-selection-and-denoising-in-compressed-sensing-framework" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31470.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">483</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">13653</span> Development of Variable Order Block Multistep Method for Solving Ordinary Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Suleiman">Mohamed Suleiman</a>, <a href="https://publications.waset.org/abstracts/search?q=Zarina%20Bibi%20Ibrahim"> Zarina Bibi Ibrahim</a>, <a href="https://publications.waset.org/abstracts/search?q=Nor%20Ain%20Azeany"> Nor Ain Azeany</a>, <a href="https://publications.waset.org/abstracts/search?q=Khairil%20Iskandar%20Othman"> Khairil Iskandar Othman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a class of variable order fully implicit multistep Block Backward Differentiation Formulas (VOBBDF) using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs) is developed. The code will combine three multistep block methods of order four, five and six. The order selection is based on approximation of the local errors with specific tolerance. These methods are constructed to produce two approximate solutions simultaneously at each iteration in order to further increase the efficiency. The proposed VOBBDF is validated through numerical results on some standard problems found in the literature and comparisons are made with single order Block Backward Differentiation Formula (BBDF). Numerical results shows the advantage of using VOBBDF for solving ODEs. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=block%20backward%20differentiation%20formulas" title="block backward differentiation formulas">block backward differentiation formulas</a>, <a href="https://publications.waset.org/abstracts/search?q=uniform%20step%20size" title=" uniform step size"> uniform step size</a>, <a href="https://publications.waset.org/abstracts/search?q=ordinary%20differential%20equations" title=" ordinary differential equations"> ordinary differential equations</a> </p> <a href="https://publications.waset.org/abstracts/16451/development-of-variable-order-block-multistep-method-for-solving-ordinary-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16451.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">447</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">13652</span> An Optimal and Efficient Family of Fourth-Order Methods for Nonlinear Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Parshanth%20Maroju">Parshanth Maroju</a>, <a href="https://publications.waset.org/abstracts/search?q=Ramandeep%20Behl"> Ramandeep Behl</a>, <a href="https://publications.waset.org/abstracts/search?q=Sandile%20S.%20Motsa"> Sandile S. Motsa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we proposed a simple and interesting family of fourth-order multi-point methods without memory for obtaining simple roots. This family requires only three functional evaluations (viz. two of functions f(xn), f(yn) and third one of its first-order derivative f'(xn)) per iteration. Moreover, the accuracy and validity of new schemes is tested by a number of numerical examples are also proposed to illustrate their accuracy by comparing them with the new existing optimal fourth-order methods available in the literature. It is found that they are very useful in high precision computations. Further, the dynamic study of these methods also supports the theoretical aspect. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=basins%20of%20attraction" title="basins of attraction">basins of attraction</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=simple%20roots" title=" simple roots"> simple roots</a>, <a href="https://publications.waset.org/abstracts/search?q=Newton%27s%20method" title=" Newton's method"> Newton's method</a> </p> <a href="https://publications.waset.org/abstracts/57597/an-optimal-and-efficient-family-of-fourth-order-methods-for-nonlinear-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/57597.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">312</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">13651</span> Some Efficient Higher Order Iterative Schemes for Solving Nonlinear Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sandeep%20%20Singh">Sandeep Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article, two classes of iterative schemes are proposed for approximating solutions of nonlinear systems of equations whose orders of convergence are six and eight respectively. Sixth order scheme requires the evaluation of two vector-functions, two first Fr'echet derivatives and three matrices inversion per iteration. This three-step sixth-order method is further extended to eighth-order method which requires one more step and the evaluation of one extra vector-function. Moreover, computational efficiency is compared with some other recently published methods in which we found, our methods are more efficient than existing numerical methods for higher and medium size nonlinear system of equations. Numerical tests are performed to validate the proposed schemes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nonlinear%20systems" title="Nonlinear systems">Nonlinear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=Computational%20complexity" title=" Computational complexity"> Computational complexity</a>, <a href="https://publications.waset.org/abstracts/search?q=order%20of%20convergence" title=" order of convergence"> order of convergence</a>, <a href="https://publications.waset.org/abstracts/search?q=Jarratt-type%20scheme" title=" Jarratt-type scheme"> Jarratt-type scheme</a> </p> <a href="https://publications.waset.org/abstracts/137828/some-efficient-higher-order-iterative-schemes-for-solving-nonlinear-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/137828.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">136</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">13650</span> Refined Procedures for Second Order Asymptotic Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gubhinder%20Kundhi">Gubhinder Kundhi</a>, <a href="https://publications.waset.org/abstracts/search?q=Paul%20Rilstone"> Paul Rilstone</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Refined procedures for higher-order asymptotic theory for non-linear models are developed. These include a new method for deriving stochastic expansions of arbitrary order, new methods for evaluating the moments of polynomials of sample averages, a new method for deriving the approximate moments of the stochastic expansions; an application of these techniques to gather improved inferences with the weak instruments problem is considered. It is well established that Instrumental Variable (IV) estimators in the presence of weak instruments can be poorly behaved, in particular, be quite biased in finite samples. In our application, finite sample approximations to the distributions of these estimators are obtained using Edgeworth and Saddlepoint expansions. Departures from normality of the distributions of these estimators are analyzed using higher order analytical corrections in these expansions. In a Monte-Carlo experiment, the performance of these expansions is compared to the first order approximation and other methods commonly used in finite samples such as the bootstrap. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=edgeworth%20expansions" title="edgeworth expansions">edgeworth expansions</a>, <a href="https://publications.waset.org/abstracts/search?q=higher%20order%20asymptotics" title=" higher order asymptotics"> higher order asymptotics</a>, <a href="https://publications.waset.org/abstracts/search?q=saddlepoint%20expansions" title=" saddlepoint expansions"> saddlepoint expansions</a>, <a href="https://publications.waset.org/abstracts/search?q=weak%20instruments" title=" weak instruments"> weak instruments</a> </p> <a href="https://publications.waset.org/abstracts/68155/refined-procedures-for-second-order-asymptotic-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/68155.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">277</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">13649</span> On the Cyclic Property of Groups of Prime Order</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ying%20Yi%20Wu">Ying Yi Wu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The study of finite groups is a central topic in algebraic structures, and one of the most fundamental questions in this field is the classification of finite groups up to isomorphism. In this paper, we investigate the cyclic property of groups of prime order, which is a crucial result in the classification of finite abelian groups. We prove the following statement: If p is a prime, then every group G of order p is cyclic. Our proof utilizes the properties of group actions and the class equation, which provide a powerful tool for studying the structure of finite groups. In particular, we first show that any non-identity element of G generates a cyclic subgroup of G. Then, we establish the existence of an element of order p, which implies that G is generated by a single element. Finally, we demonstrate that any two generators of G are conjugate, which shows that G is a cyclic group. Our result has significant implications in the classification of finite groups, as it implies that any group of prime order is isomorphic to the cyclic group of the same order. Moreover, it provides a useful tool for understanding the structure of more complicated finite groups, as any finite abelian group can be decomposed into a direct product of cyclic groups. Our proof technique can also be extended to other areas of group theory, such as the classification of finite p-groups, where p is a prime. Therefore, our work has implications beyond the specific result we prove and can contribute to further research in algebraic structures. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=group%20theory" title="group theory">group theory</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20groups" title=" finite groups"> finite groups</a>, <a href="https://publications.waset.org/abstracts/search?q=cyclic%20groups" title=" cyclic groups"> cyclic groups</a>, <a href="https://publications.waset.org/abstracts/search?q=prime%20order" title=" prime order"> prime order</a>, <a href="https://publications.waset.org/abstracts/search?q=classification." title=" classification."> classification.</a> </p> <a href="https://publications.waset.org/abstracts/163778/on-the-cyclic-property-of-groups-of-prime-order" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/163778.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">84</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">13648</span> Parameters Estimation of Power Function Distribution Based on Selective Order Statistics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Moh%27d%20Alodat">Moh'd Alodat</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we discuss the power function distribution and derive the maximum likelihood estimator of its parameter as well as the reliability parameter. We derive the large sample properties of the estimators based on the selective order statistic scheme. We conduct simulation studies to investigate the significance of the selective order statistic scheme in our setup and to compare the efficiency of the new proposed estimators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fisher%20information" title="fisher information">fisher information</a>, <a href="https://publications.waset.org/abstracts/search?q=maximum%20likelihood%20estimator" title=" maximum likelihood estimator"> maximum likelihood estimator</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20function%20distribution" title=" power function distribution"> power function distribution</a>, <a href="https://publications.waset.org/abstracts/search?q=ranked%20set%20sampling" title=" ranked set sampling"> ranked set sampling</a>, <a href="https://publications.waset.org/abstracts/search?q=selective%20order%20statistics%20sampling" title=" selective order statistics sampling"> selective order statistics sampling</a> </p> <a href="https://publications.waset.org/abstracts/40094/parameters-estimation-of-power-function-distribution-based-on-selective-order-statistics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/40094.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">464</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">13647</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> <ul class="pagination"> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=second%20order%20linearization&page=2" rel="prev">&lsaquo;</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=second%20order%20linearization&page=1">1</a></li> <li class="page-item"><a class="page-link" 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