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method</title> <meta name="description" content="Search results for: Laplace method"> <meta name="keywords" content="Laplace 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="Laplace 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> 18964</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Laplace method</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">18964</span> Integrated Nested Laplace Approximations For Quantile Regression</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kajingulu%20Malandala">Kajingulu Malandala</a>, <a href="https://publications.waset.org/abstracts/search?q=Ranganai%20Edmore"> Ranganai Edmore</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The asymmetric Laplace distribution (ADL) is commonly used as the likelihood function of the Bayesian quantile regression, and it offers different families of likelihood method for quantile regression. Notwithstanding their popularity and practicality, ADL is not smooth and thus making it difficult to maximize its likelihood. Furthermore, Bayesian inference is time consuming and the selection of likelihood may mislead the inference, as the Bayes theorem does not automatically establish the posterior inference. Furthermore, ADL does not account for greater skewness and Kurtosis. This paper develops a new aspect of quantile regression approach for count data based on inverse of the cumulative density function of the Poisson, binomial and Delaporte distributions using the integrated nested Laplace Approximations. Our result validates the benefit of using the integrated nested Laplace Approximations and support the approach for count data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quantile%20regression" title="quantile regression">quantile regression</a>, <a href="https://publications.waset.org/abstracts/search?q=Delaporte%20distribution" title=" Delaporte distribution"> Delaporte distribution</a>, <a href="https://publications.waset.org/abstracts/search?q=count%20data" title=" count data"> count data</a>, <a href="https://publications.waset.org/abstracts/search?q=integrated%20nested%20Laplace%20approximation" title=" integrated nested Laplace approximation"> integrated nested Laplace approximation</a> </p> <a href="https://publications.waset.org/abstracts/123306/integrated-nested-laplace-approximations-for-quantile-regression" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/123306.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">163</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">18963</span> An Empirical Study of the Best Fitting Probability Distributions for Stock Returns Modeling</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jayanta%20Pokharel">Jayanta Pokharel</a>, <a href="https://publications.waset.org/abstracts/search?q=Gokarna%20Aryal"> Gokarna Aryal</a>, <a href="https://publications.waset.org/abstracts/search?q=Netra%20Kanaal"> Netra Kanaal</a>, <a href="https://publications.waset.org/abstracts/search?q=Chris%20Tsokos"> Chris Tsokos</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Investment in stocks and shares aims to seek potential gains while weighing the risk of future needs, such as retirement, children's education etc. Analysis of the behavior of the stock market returns and making prediction is important for investors to mitigate risk on investment. Historically, the normal variance models have been used to describe the behavior of stock market returns. However, the returns of the financial assets are actually skewed with higher kurtosis, heavier tails, and a higher center than the normal distribution. The Laplace distribution and its family are natural candidates for modeling stock returns. The Variance-Gamma (VG) distribution is the most sought-after distributions for modeling asset returns and has been extensively discussed in financial literatures. In this paper, it explore the other Laplace family, such as Asymmetric Laplace, Skewed Laplace, Kumaraswamy Laplace (KS) together with Variance-Gamma to model the weekly returns of the S&P 500 Index and it's eleven business sector indices. The method of maximum likelihood is employed to estimate the parameters of the distributions and our empirical inquiry shows that the Kumaraswamy Laplace distribution performs much better for stock returns modeling among the choice of distributions used in this study and in practice, KS can be used as a strong alternative to VG distribution. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=stock%20returns" title="stock returns">stock returns</a>, <a href="https://publications.waset.org/abstracts/search?q=variance-gamma" title=" variance-gamma"> variance-gamma</a>, <a href="https://publications.waset.org/abstracts/search?q=kumaraswamy%20laplace" title=" kumaraswamy laplace"> kumaraswamy laplace</a>, <a href="https://publications.waset.org/abstracts/search?q=maximum%20likelihood" title=" maximum likelihood"> maximum likelihood</a> </p> <a href="https://publications.waset.org/abstracts/174545/an-empirical-study-of-the-best-fitting-probability-distributions-for-stock-returns-modeling" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/174545.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">70</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">18962</span> Annular Hyperbolic Profile Fins with Variable Thermal Conductivity Using Laplace Adomian Transform and Double Decomposition Methods</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yinwei%20Lin">Yinwei Lin</a>, <a href="https://publications.waset.org/abstracts/search?q=Cha%27o-Kuang%20Chen"> Cha'o-Kuang Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article, the Laplace Adomian transform method (LADM) and double decomposition method (DDM) are used to solve the annular hyperbolic profile fins with variable thermal conductivity. As the thermal conductivity parameter ε is relatively large, the numerical solution using DDM become incorrect. Moreover, when the terms of DDM are more than seven, the numerical solution using DDM is very complicated. However, the present method can be easily calculated as terms are over seven and has more precisely numerical solutions. As the thermal conductivity parameter ε is relatively large, LADM also has better accuracy than DDM. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fins" title="fins">fins</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20conductivity" title=" thermal conductivity"> thermal conductivity</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplace%20transform" title=" Laplace transform"> Laplace transform</a>, <a href="https://publications.waset.org/abstracts/search?q=Adomian" title=" Adomian"> Adomian</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear" title=" nonlinear"> nonlinear</a> </p> <a href="https://publications.waset.org/abstracts/47504/annular-hyperbolic-profile-fins-with-variable-thermal-conductivity-using-laplace-adomian-transform-and-double-decomposition-methods" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47504.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">334</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">18961</span> Differential Transform Method: Some Important Examples</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Jamil%20Amir">M. Jamil Amir</a>, <a href="https://publications.waset.org/abstracts/search?q=Rabia%20Iqbal"> Rabia Iqbal</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Yaseen"> M. Yaseen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we solve some differential equations analytically by using differential transform method. For this purpose, we consider four models of Laplace equation with two Dirichlet and two Neumann boundary conditions and K(2,2) equation and obtain the corresponding exact solutions. The obtained results show the simplicity of the method and massive reduction in calculations when one compares it with other iterative methods, available in literature. It is worth mentioning that here only a few number of iterations are required to reach the closed form solutions as series expansions of some known functions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=differential%20transform%20method" title="differential transform method">differential transform method</a>, <a href="https://publications.waset.org/abstracts/search?q=laplace%20equation" title=" laplace equation"> laplace equation</a>, <a href="https://publications.waset.org/abstracts/search?q=Dirichlet%20boundary%20conditions" title=" Dirichlet boundary conditions"> Dirichlet boundary conditions</a>, <a href="https://publications.waset.org/abstracts/search?q=Neumann%20boundary%20conditions" title=" Neumann boundary conditions"> Neumann boundary conditions</a> </p> <a href="https://publications.waset.org/abstracts/18605/differential-transform-method-some-important-examples" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18605.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">537</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">18960</span> Transient Heat Transfer of a Spiral Fin</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sen-Yung%20Lee">Sen-Yung Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=Li-Kuo%20Chou"> Li-Kuo Chou</a>, <a href="https://publications.waset.org/abstracts/search?q=Chao-Kuang%20Chen"> Chao-Kuang Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, the problem of temperature transient response of a spiral fin, with its end insulated, is analyzed with base end subjected to a variation of fluid temperature. The hybrid method of Laplace transforms/Adomian decomposed method-Padé, is applied to the temperature transient response of the fin, the result of the temperature distribution and the heat flux at the base of the spiral fin are obtained, show a good agreement in the physical phenomenon. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Laplace%20transforms" title="Laplace transforms">Laplace transforms</a>, <a href="https://publications.waset.org/abstracts/search?q=Adomian%20decomposed%20method-%20Pad%C3%A9" title=" Adomian decomposed method- Padé"> Adomian decomposed method- Padé</a>, <a href="https://publications.waset.org/abstracts/search?q=transient%20response" title=" transient response"> transient response</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a> </p> <a href="https://publications.waset.org/abstracts/47926/transient-heat-transfer-of-a-spiral-fin" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47926.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">426</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">18959</span> The Improved Laplace Homotopy Perturbation Method for Solving Non-integrable PDEs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Noufe%20H.%20Aljahdaly">Noufe H. Aljahdaly</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Laplace homotopy perturbation method (LHPM) is an approximate method that help to compute the approximate solution for partial differential equations. The method has been used for solving several problems in science. It requires the initial condition, so it solves the initial value problem. In physics, when some important terms are taken in account, we may obtain non-integrable partial differential equations that do not have analytical integrals. This type of PDEs do not have exact solution, therefore, we need to compute the solution without initial condition. In this work, we improved the LHPM to be able to solve non-integrable problem, especially the damped PDEs, which are the PDEs that include a damping term which makes the PDEs non-integrable. We improved the LHPM by setting a perturbation parameter and an embedding parameter as the damping parameter and using the initial condition for damped PDE as the initial condition for non-damped PDE. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=non-integrable%20PDEs" title="non-integrable PDEs">non-integrable PDEs</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20Kawahara%20equation%3B" title=" modified Kawahara equation;"> modified Kawahara equation;</a>, <a href="https://publications.waset.org/abstracts/search?q=laplace%20homotopy%20perturbation%20method" title=" laplace homotopy perturbation method"> laplace homotopy perturbation method</a>, <a href="https://publications.waset.org/abstracts/search?q=damping%20term" title=" damping term"> damping term</a> </p> <a href="https://publications.waset.org/abstracts/172304/the-improved-laplace-homotopy-perturbation-method-for-solving-non-integrable-pdes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/172304.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">100</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">18958</span> Dynamic Response of Nano Spherical Shell Subjected to Termo-Mechanical Shock Using Nonlocal Elasticity Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20Ranjbarn">J. Ranjbarn</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Alibeigloo"> A. Alibeigloo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present an analytical method for analysis of nano-scale spherical shell subjected to thermo-mechanical shocks based on nonlocal elasticity theory. Thermo-mechanical properties of nano shpere is assumed to be temperature dependent. Governing partial differential equation of motion is solved analytically by using Laplace transform for time domain and power series for spacial domain. The results in Laplace domain is transferred to time domain by employing the fast inverse Laplace transform (FLIT) method. Accuracy of present approach is assessed by comparing the the numerical results with the results of published work in literature. Furtheremore, the effects of non-local parameter and wall thickness on the dynamic characteristics of the nano-sphere are studied. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nano-scale%20spherical%20shell" title="nano-scale spherical shell">nano-scale spherical shell</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20elasticity%20theory" title=" nonlocal elasticity theory"> nonlocal elasticity theory</a>, <a href="https://publications.waset.org/abstracts/search?q=thermomechanical%20shock" title=" thermomechanical shock"> thermomechanical shock</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20response" title=" dynamic response"> dynamic response</a> </p> <a href="https://publications.waset.org/abstracts/10273/dynamic-response-of-nano-spherical-shell-subjected-to-termo-mechanical-shock-using-nonlocal-elasticity-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10273.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">373</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">18957</span> A Non-Standard Finite Difference Scheme for the Solution of Laplace Equation with Dirichlet Boundary Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Khaled%20Moaddy">Khaled Moaddy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present a fast and accurate numerical scheme for the solution of a Laplace equation with Dirichlet boundary conditions. The non-standard finite difference scheme (NSFD) is applied to construct the numerical solutions of a Laplace equation with two different Dirichlet boundary conditions. The solutions obtained using NSFD are compared with the solutions obtained using the standard finite difference scheme (SFD). The NSFD scheme is demonstrated to be reliable and efficient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=standard%20finite%20difference%20schemes" title="standard finite difference schemes">standard finite difference schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=non-standard%20schemes" title=" non-standard schemes"> non-standard schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplace%20equation" title=" Laplace equation"> Laplace equation</a>, <a href="https://publications.waset.org/abstracts/search?q=Dirichlet%20boundary%20conditions" title=" Dirichlet boundary conditions"> Dirichlet boundary conditions</a> </p> <a href="https://publications.waset.org/abstracts/119718/a-non-standard-finite-difference-scheme-for-the-solution-of-laplace-equation-with-dirichlet-boundary-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/119718.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">132</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">18956</span> The Boundary Element Method in Excel for Teaching Vector Calculus and Simulation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Stephen%20Kirkup">Stephen Kirkup</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper discusses the implementation of the boundary element method (BEM) on an Excel spreadsheet and how it can be used in teaching vector calculus and simulation. There are two separate spreadheets, within which Laplace equation is solved by the BEM in two dimensions (LIBEM2) and axisymmetric three dimensions (LBEMA). The main algorithms are implemented in the associated programming language within Excel, Visual Basic for Applications (VBA). The BEM only requires a boundary mesh and hence it is a relatively accessible method. The BEM in the open spreadsheet environment is demonstrated as being useful as an aid to teaching and learning. The application of the BEM implemented on a spreadsheet for educational purposes in introductory vector calculus and simulation is explored. The development of assignment work is discussed, and sample results from student work are given. The spreadsheets were found to be useful tools in developing the students’ understanding of vector calculus and in simulating heat conduction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=boundary%20element%20method" title="boundary element method">boundary element method</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplace%E2%80%99s%20equation" title=" Laplace’s equation"> Laplace’s equation</a>, <a href="https://publications.waset.org/abstracts/search?q=vector%20calculus" title=" vector calculus"> vector calculus</a>, <a href="https://publications.waset.org/abstracts/search?q=simulation" title=" simulation"> simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=education" title=" education"> education</a> </p> <a href="https://publications.waset.org/abstracts/95383/the-boundary-element-method-in-excel-for-teaching-vector-calculus-and-simulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/95383.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">163</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">18955</span> Conduction Transfer Functions for the Calculation of Heat Demands in Heavyweight Facade Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mergim%20Gasia">Mergim Gasia</a>, <a href="https://publications.waset.org/abstracts/search?q=Bojan%20Milovanovica"> Bojan Milovanovica</a>, <a href="https://publications.waset.org/abstracts/search?q=Sanjin%20Gumbarevic"> Sanjin Gumbarevic</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Better energy performance of the building envelope is one of the most important aspects of energy savings if the goals set by the European Union are to be achieved in the future. Dynamic heat transfer simulations are being used for the calculation of building energy consumption because they give more realistic energy demands compared to the stationary calculations that do not take the building’s thermal mass into account. Software used for these dynamic simulation use methods that are based on the analytical models since numerical models are insufficient for longer periods. The analytical models used in this research fall in the category of the conduction transfer functions (CTFs). Two methods for calculating the CTFs covered by this research are the Laplace method and the State-Space method. The literature review showed that the main disadvantage of these methods is that they are inadequate for heavyweight façade elements and shorter time periods used for the calculation. The algorithms for both the Laplace and State-Space methods are implemented in Mathematica, and the results are compared to the results from EnergyPlus and TRNSYS since these software use similar algorithms for the calculation of the building’s energy demand. This research aims to check the efficiency of the Laplace and the State-Space method for calculating the building’s energy demand for heavyweight building elements and shorter sampling time, and it also gives the means for the improvement of the algorithms used by these methods. As the reference point for the boundary heat flux density, the finite difference method (FDM) is used. Even though the dynamic heat transfer simulations are superior to the calculation based on the stationary boundary conditions, they have their limitations and will give unsatisfactory results if not properly used. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Laplace%20method" title="Laplace method">Laplace method</a>, <a href="https://publications.waset.org/abstracts/search?q=state-space%20method" title=" state-space method"> state-space method</a>, <a href="https://publications.waset.org/abstracts/search?q=conduction%20transfer%20functions" title=" conduction transfer functions"> conduction transfer functions</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20method" title=" finite difference method"> finite difference method</a> </p> <a href="https://publications.waset.org/abstracts/123864/conduction-transfer-functions-for-the-calculation-of-heat-demands-in-heavyweight-facade-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/123864.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">132</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">18954</span> A Study of Numerical Reaction-Diffusion Systems on Closed Surfaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mei-Hsiu%20Chi">Mei-Hsiu Chi</a>, <a href="https://publications.waset.org/abstracts/search?q=Jyh-Yang%20Wu"> Jyh-Yang Wu</a>, <a href="https://publications.waset.org/abstracts/search?q=Sheng-Gwo%20Chen"> Sheng-Gwo Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The diffusion-reaction equations are important Partial Differential Equations in mathematical biology, material science, physics, and so on. However, finding efficient numerical methods for diffusion-reaction systems on curved surfaces is still an important and difficult problem. The purpose of this paper is to present a convergent geometric method for solving the reaction-diffusion equations on closed surfaces by an O(r)-LTL configuration method. The O(r)-LTL configuration method combining the local tangential lifting technique and configuration equations is an effective method to estimate differential quantities on curved surfaces. Since estimating the Laplace-Beltrami operator is an important task for solving the reaction-diffusion equations on surfaces, we use the local tangential lifting method and a generalized finite difference method to approximate the Laplace-Beltrami operators and we solve this reaction-diffusion system on closed surfaces. Our method is not only conceptually simple, but also easy to implement. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=closed%20surfaces" title="closed surfaces">closed surfaces</a>, <a href="https://publications.waset.org/abstracts/search?q=high-order%20approachs" title=" high-order approachs"> high-order approachs</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20solutions" title=" numerical solutions"> numerical solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=reaction-diffusion%20systems" title=" reaction-diffusion systems"> reaction-diffusion systems</a> </p> <a href="https://publications.waset.org/abstracts/56431/a-study-of-numerical-reaction-diffusion-systems-on-closed-surfaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56431.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">376</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">18953</span> Caputo-Type Fuzzy Fractional Riccati Differential Equations with Fuzzy Initial Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Trilok%20Mathur">Trilok Mathur</a>, <a href="https://publications.waset.org/abstracts/search?q=Shivi%20Agarwal"> Shivi Agarwal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with the solutions of fuzzy-fractional-order Riccati equations under Caputo-type fuzzy fractional derivatives. The Caputo-type fuzzy fractional derivatives are defined based on Hukuhura difference and strongly generalized fuzzy differentiability. The Laplace-Adomian-Pade method is used for solving fractional Riccati-type initial value differential equations of fractional order. Moreover, we also displayed some examples to illustrate our methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Caputo-type%20fuzzy%20fractional%20derivative" title="Caputo-type fuzzy fractional derivative">Caputo-type fuzzy fractional derivative</a>, <a href="https://publications.waset.org/abstracts/search?q=Fractional%20Riccati%20differential%20equations" title=" Fractional Riccati differential equations"> Fractional Riccati differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplace-Adomian-Pade%20method" title=" Laplace-Adomian-Pade method"> Laplace-Adomian-Pade method</a>, <a href="https://publications.waset.org/abstracts/search?q=Mittag%20Leffler%20function" title=" Mittag Leffler function"> Mittag Leffler function</a> </p> <a href="https://publications.waset.org/abstracts/51080/caputo-type-fuzzy-fractional-riccati-differential-equations-with-fuzzy-initial-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51080.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">395</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">18952</span> Three-Dimensional Generalized Thermoelasticity with Variable Thermal Conductivity </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hamdy%20M.%20Youssef">Hamdy M. Youssef</a>, <a href="https://publications.waset.org/abstracts/search?q=Mowffaq%20Oreijah"> Mowffaq Oreijah</a>, <a href="https://publications.waset.org/abstracts/search?q=Hunaydi%20S.%20Alsharif"> Hunaydi S. Alsharif</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a three-dimensional model of the generalized thermoelasticity with one relaxation time and variable thermal conductivity has been constructed. The resulting non-dimensional governing equations together with the Laplace and double Fourier transforms techniques have been applied to a three-dimensional half-space subjected to thermal loading with rectangular pulse and traction free in the directions of the principle co-ordinates. The inverses of double Fourier transforms, and Laplace transforms have been obtained numerically. Numerical results for the temperature increment, the invariant stress, the invariant strain, and the displacement are represented graphically. The variability of the thermal conductivity has significant effects on the thermal and the mechanical waves. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=thermoelasticity" title="thermoelasticity">thermoelasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20conductivity" title=" thermal conductivity"> thermal conductivity</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplace%20transforms" title=" Laplace transforms"> Laplace transforms</a>, <a href="https://publications.waset.org/abstracts/search?q=Fourier%20transforms" title=" Fourier transforms"> Fourier transforms</a> </p> <a href="https://publications.waset.org/abstracts/103359/three-dimensional-generalized-thermoelasticity-with-variable-thermal-conductivity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/103359.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">228</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">18951</span> Numerical Solution Speedup of the Laplace Equation Using FPGA Hardware</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abbas%20Ebrahimi">Abbas Ebrahimi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Zandsalimy"> Mohammad Zandsalimy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main purpose of this study is to investigate the feasibility of using FPGA (Field Programmable Gate Arrays) chips as alternatives for the conventional CPUs to accelerate the numerical solution of the Laplace equation. FPGA is an integrated circuit that contains an array of logic blocks, and its architecture can be reprogrammed and reconfigured after manufacturing. Complex circuits for various applications can be designed and implemented using FPGA hardware. The reconfigurable hardware used in this paper is an SoC (System on a Chip) FPGA type that integrates both microprocessor and FPGA architectures into a single device. In the present study the Laplace equation is implemented and solved numerically on both reconfigurable hardware and CPU. The precision of results and speedups of the calculations are compared together. The computational process on FPGA, is up to 20 times faster than a conventional CPU, with the same data precision. An analytical solution is used to validate the results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=accelerating%20numerical%20solutions" title="accelerating numerical solutions">accelerating numerical solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=CFD" title=" CFD"> CFD</a>, <a href="https://publications.waset.org/abstracts/search?q=FPGA" title=" FPGA"> FPGA</a>, <a href="https://publications.waset.org/abstracts/search?q=hardware%20definition%20language" title=" hardware definition language"> hardware definition language</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20solutions" title=" numerical solutions"> numerical solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=reconfigurable%20hardware" title=" reconfigurable hardware"> reconfigurable hardware</a> </p> <a href="https://publications.waset.org/abstracts/68002/numerical-solution-speedup-of-the-laplace-equation-using-fpga-hardware" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/68002.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">382</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">18950</span> Analysis of Potential Flow around Two-Dimensional Body by Surface Panel Method and Vortex Lattice Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Abir%20Hossain">M. Abir Hossain</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Shahjada%20Tarafder"> M. Shahjada Tarafder</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with the analysis of potential flow past two-dimensional body by discretizing the body into panels where the Laplace equation was applied to each panel. The Laplace equation was solved at each panel by applying the boundary conditions. The boundary condition was applied at each panel to mathematically formulate the problem and then convert the problem into a computer-solvable problem. Kutta condition was applied at both the leading and trailing edges to see whether the condition is satisfied or not. Another approach that is applied for the analysis is Vortex Lattice Method (VLM). A vortex ring is considered at each control point. Using the Biot-Savart Law the strength at each control point is calculated and hence the pressure differentials are measured. For the comparison of the analytic result with the experimental result, different NACA section hydrofoil is used. The analytic result of NACA 0012 and NACA 0015 are compared with the experimental result of Abbott and Doenhoff and found significant conformity with the achieved result. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kutta%20condition" title="Kutta condition">Kutta condition</a>, <a href="https://publications.waset.org/abstracts/search?q=Law%20of%20Biot-Savart" title=" Law of Biot-Savart"> Law of Biot-Savart</a>, <a href="https://publications.waset.org/abstracts/search?q=pressure%20differentials" title=" pressure differentials"> pressure differentials</a>, <a href="https://publications.waset.org/abstracts/search?q=potential%20flow" title=" potential flow"> potential flow</a>, <a href="https://publications.waset.org/abstracts/search?q=vortex%20lattice%20method" title=" vortex lattice method"> vortex lattice method</a> </p> <a href="https://publications.waset.org/abstracts/81177/analysis-of-potential-flow-around-two-dimensional-body-by-surface-panel-method-and-vortex-lattice-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/81177.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">190</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">18949</span> Leverage Effect for Volatility with Generalized Laplace Error</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Farrukh%20Javed">Farrukh Javed</a>, <a href="https://publications.waset.org/abstracts/search?q=Krzysztof%20Podg%C3%B3rski"> Krzysztof Podgórski</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We propose a new model that accounts for the asymmetric response of volatility to positive ('good news') and negative ('bad news') shocks in economic time series the so-called leverage effect. In the past, asymmetric powers of errors in the conditionally heteroskedastic models have been used to capture this effect. Our model is using the gamma difference representation of the generalized Laplace distributions that efficiently models the asymmetry. It has one additional natural parameter, the shape, that is used instead of power in the asymmetric power models to capture the strength of a long-lasting effect of shocks. Some fundamental properties of the model are provided including the formula for covariances and an explicit form for the conditional distribution of 'bad' and 'good' news processes given the past the property that is important for the statistical fitting of the model. Relevant features of volatility models are illustrated using S&P 500 historical data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=heavy%20tails" title="heavy tails">heavy tails</a>, <a href="https://publications.waset.org/abstracts/search?q=volatility%20clustering" title=" volatility clustering"> volatility clustering</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20asymmetric%20laplace%20distribution" title=" generalized asymmetric laplace distribution"> generalized asymmetric laplace distribution</a>, <a href="https://publications.waset.org/abstracts/search?q=leverage%20effect" title=" leverage effect"> leverage effect</a>, <a href="https://publications.waset.org/abstracts/search?q=conditional%20heteroskedasticity" title=" conditional heteroskedasticity"> conditional heteroskedasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=asymmetric%20power%20volatility" title=" asymmetric power volatility"> asymmetric power volatility</a>, <a href="https://publications.waset.org/abstracts/search?q=GARCH%20models" title=" GARCH models "> GARCH models </a> </p> <a href="https://publications.waset.org/abstracts/18972/leverage-effect-for-volatility-with-generalized-laplace-error" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18972.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">385</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">18948</span> Mathematical Modeling and Analysis of Forced Vibrations in Micro-Scale Microstretch Thermoelastic Simply Supported Beam</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Geeta%20Partap">Geeta Partap</a>, <a href="https://publications.waset.org/abstracts/search?q=Nitika%20Chugh"> Nitika Chugh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present paper deals with the flexural vibrations of homogeneous, isotropic, generalized micropolar microstretch thermoelastic thin Euler-Bernoulli beam resonators, due to Exponential time varying load. Both the axial ends of the beam are assumed to be at simply supported conditions. The governing equations have been solved analytically by using Laplace transforms technique twice with respect to time and space variables respectively. The inversion of Laplace transform in time domain has been performed by using the calculus of residues to obtain deflection.The analytical results have been numerically analyzed with the help of MATLAB software for magnesium like material. The graphical representations and interpretations have been discussed for Deflection of beam under Simply Supported boundary condition and for distinct considered values of time and space as well. The obtained results are easy to implement for engineering analysis and designs of resonators (sensors), modulators, actuators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=microstretch" title="microstretch">microstretch</a>, <a href="https://publications.waset.org/abstracts/search?q=deflection" title=" deflection"> deflection</a>, <a href="https://publications.waset.org/abstracts/search?q=exponential%20load" title=" exponential load"> exponential load</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplace%20transforms" title=" Laplace transforms"> Laplace transforms</a>, <a href="https://publications.waset.org/abstracts/search?q=residue%20theorem" title=" residue theorem"> residue theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=simply%20supported" title=" simply supported"> simply supported</a> </p> <a href="https://publications.waset.org/abstracts/73611/mathematical-modeling-and-analysis-of-forced-vibrations-in-micro-scale-microstretch-thermoelastic-simply-supported-beam" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/73611.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">309</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">18947</span> Bayesian Inference for High Dimensional Dynamic Spatio-Temporal Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sofia%20M.%20Karadimitriou">Sofia M. Karadimitriou</a>, <a href="https://publications.waset.org/abstracts/search?q=Kostas%20Triantafyllopoulos"> Kostas Triantafyllopoulos</a>, <a href="https://publications.waset.org/abstracts/search?q=Timothy%20Heaton"> Timothy Heaton</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Reduced dimension Dynamic Spatio-Temporal Models (DSTMs) jointly describe the spatial and temporal evolution of a function observed subject to noise. A basic state space model is adopted for the discrete temporal variation, while a continuous autoregressive structure describes the continuous spatial evolution. Application of such a DSTM relies upon the pre-selection of a suitable reduced set of basic functions and this can present a challenge in practice. In this talk, we propose an online estimation method for high dimensional spatio-temporal data based upon DSTM and we attempt to resolve this issue by allowing the basis to adapt to the observed data. Specifically, we present a wavelet decomposition in order to obtain a parsimonious approximation of the spatial continuous process. This parsimony can be achieved by placing a Laplace prior distribution on the wavelet coefficients. The aim of using the Laplace prior, is to filter wavelet coefficients with low contribution, and thus achieve the dimension reduction with significant computation savings. We then propose a Hierarchical Bayesian State Space model, for the estimation of which we offer an appropriate particle filter algorithm. The proposed methodology is illustrated using real environmental data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=multidimensional%20Laplace%20prior" title="multidimensional Laplace prior">multidimensional Laplace prior</a>, <a href="https://publications.waset.org/abstracts/search?q=particle%20filtering" title=" particle filtering"> particle filtering</a>, <a href="https://publications.waset.org/abstracts/search?q=spatio-temporal%20modelling" title=" spatio-temporal modelling"> spatio-temporal modelling</a>, <a href="https://publications.waset.org/abstracts/search?q=wavelets" title=" wavelets"> wavelets</a> </p> <a href="https://publications.waset.org/abstracts/43799/bayesian-inference-for-high-dimensional-dynamic-spatio-temporal-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43799.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">427</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">18946</span> Mathematical Models for Drug Diffusion Through the Compartments of Blood and Tissue Medium</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20A.%20Khanday">M. A. Khanday</a>, <a href="https://publications.waset.org/abstracts/search?q=Aasma%20Rafiq"> Aasma Rafiq</a>, <a href="https://publications.waset.org/abstracts/search?q=Khalid%20Nazir"> Khalid Nazir</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is an attempt to establish the mathematical models to understand the distribution of drug administration in the human body through oral and intravenous routes. Three models were formulated based on diffusion process using Fick’s principle and the law of mass action. The rate constants governing the law of mass action were used on the basis of the drug efficacy at different interfaces. The Laplace transform and eigenvalue methods were used to obtain the solution of the ordinary differential equations concerning the rate of change of concentration in different compartments viz. blood and tissue medium. The drug concentration in the different compartments has been computed using numerical parameters. The results illustrate the variation of drug concentration with respect to time using MATLAB software. It has been observed from the results that the drug concentration decreases in the first compartment and gradually increases in other subsequent compartments. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Laplace%20transform" title="Laplace transform">Laplace transform</a>, <a href="https://publications.waset.org/abstracts/search?q=diffusion" title=" diffusion"> diffusion</a>, <a href="https://publications.waset.org/abstracts/search?q=eigenvalue%20method" title=" eigenvalue method"> eigenvalue method</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20model" title=" mathematical model"> mathematical model</a> </p> <a href="https://publications.waset.org/abstracts/43080/mathematical-models-for-drug-diffusion-through-the-compartments-of-blood-and-tissue-medium" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43080.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">334</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">18945</span> Magnetohydrodynamic Couette Flow of Fractional Burger’s Fluid in an Annulus</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sani%20Isa">Sani Isa</a>, <a href="https://publications.waset.org/abstracts/search?q=Ali%20Musa"> Ali Musa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Burgers’ fluid with a fractional derivatives model in an annulus was analyzed. Combining appropriately the basic equations, with the fractionalized fractional Burger’s fluid model allow us to determine the velocity field, temperature and shear stress. The governing partial differential equation was solved using the combine Laplace transformation method and Riemann sum approximation to give velocity field, temperature and shear stress on the fluid flow. The influence of various parameters like fractional parameters, relaxation time and retardation time, are drawn. The results obtained are simulated using Mathcad software and presented graphically. From the graphical results, we observed that the relaxation time and time helps the flow pattern, on the other hand, other material constants resist the fluid flow while fractional parameters effect on fluid flow is opposite to each other. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=sani%20isa" title="sani isa">sani isa</a>, <a href="https://publications.waset.org/abstracts/search?q=Ali%20musaburger%E2%80%99s%20fluid" title=" Ali musaburger’s fluid"> Ali musaburger’s fluid</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplace%20transform" title=" Laplace transform"> Laplace transform</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20derivatives" title=" fractional derivatives"> fractional derivatives</a>, <a href="https://publications.waset.org/abstracts/search?q=annulus" title=" annulus"> annulus</a> </p> <a href="https://publications.waset.org/abstracts/190150/magnetohydrodynamic-couette-flow-of-fractional-burgers-fluid-in-an-annulus" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/190150.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">24</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">18944</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">117</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">18943</span> Dynamic Analysis of Viscoelastic Plates with Variable Thickness</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=G%C3%BCl%C3%A7in%20Tekin">Gülçin Tekin</a>, <a href="https://publications.waset.org/abstracts/search?q=Fethi%20Kad%C4%B1o%C4%9Flu"> Fethi Kadıoğlu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, the dynamic analysis of viscoelastic plates with variable thickness is examined. The solutions of dynamic response of viscoelastic thin plates with variable thickness have been obtained by using the functional analysis method in the conjunction with the Gâteaux differential. The four-node serendipity element with four degrees of freedom such as deflection, bending, and twisting moments at each node is used. Additionally, boundary condition terms are included in the functional by using a systematic way. In viscoelastic modeling, Three-parameter Kelvin solid model is employed. The solutions obtained in the Laplace-Carson domain are transformed to the real time domain by using MDOP, Dubner & Abate, and Durbin inverse transform techniques. To test the performance of the proposed mixed finite element formulation, numerical examples are treated. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamic%20analysis" title="dynamic analysis">dynamic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=inverse%20laplace%20transform%20techniques" title=" inverse laplace transform techniques"> inverse laplace transform techniques</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed%20finite%20element%20formulation" title=" mixed finite element formulation"> mixed finite element formulation</a>, <a href="https://publications.waset.org/abstracts/search?q=viscoelastic%20plate%20with%20variable%20thickness" title=" viscoelastic plate with variable thickness"> viscoelastic plate with variable thickness</a> </p> <a href="https://publications.waset.org/abstracts/43270/dynamic-analysis-of-viscoelastic-plates-with-variable-thickness" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43270.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">331</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">18942</span> Residual Power Series Method for System of Volterra Integro-Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zuhier%20Altawallbeh">Zuhier Altawallbeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper investigates the approximate analytical solutions of general form of Volterra integro-differential equations system by using the residual power series method (for short RPSM). The proposed method produces the solutions in terms of convergent series requires no linearization or small perturbation and reproduces the exact solution when the solution is polynomial. Some examples are given to demonstrate the simplicity and efficiency of the proposed method. Comparisons with the Laplace decomposition algorithm verify that the new method is very effective and convenient for solving system of pantograph equations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=integro-differential%20equation" title="integro-differential equation">integro-differential equation</a>, <a href="https://publications.waset.org/abstracts/search?q=pantograph%20equations" title=" pantograph equations"> pantograph equations</a>, <a href="https://publications.waset.org/abstracts/search?q=system%20of%20initial%20value%20problems" title=" system of initial value problems"> system of initial value problems</a>, <a href="https://publications.waset.org/abstracts/search?q=residual%20power%20series%20method" title=" residual power series method"> residual power series method</a> </p> <a href="https://publications.waset.org/abstracts/35727/residual-power-series-method-for-system-of-volterra-integro-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35727.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">418</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">18941</span> Numerical Solution of Magneto-Hydrodynamic Flow of a Viscous Fluid in the Presence of Nanoparticles with Fractional Derivatives through a Cylindrical Tube</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Abdullah">Muhammad Abdullah</a>, <a href="https://publications.waset.org/abstracts/search?q=Asma%20Rashid%20Butt"> Asma Rashid Butt</a>, <a href="https://publications.waset.org/abstracts/search?q=Nauman%20Raza"> Nauman Raza</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Biomagnetic fluids like blood play key role in different applications of medical science and bioengineering. In this paper, the magnetohydrodynamic flow of a viscous fluid with magnetic particles through a cylindrical tube is investigated. The fluid is electrically charged in the presence of a uniform external magnetic field. The movement in the fluid is produced due to the cylindrical tube. Initially, the fluid and tube are at rest and at time t=0⁺, the tube starts to move along its axis. To obtain the mathematical model of flow with fractional derivatives fractional calculus approach is used. The solution of the flow model is obtained by using Laplace transformation. The Simon's numerical algorithm is employed to obtain inverse Laplace transform. The hybrid technique, we are employing has less computational effort as compared to other methods. The numerical calculations have been performed with Mathcad software. As the special cases of our problem, the solution of flow model with ordinary derivatives and flow without magnetic particles has been procured. Finally, the impact of non-integer fractional parameter alpha, Hartmann number Ha, and Reynolds number Re on flow and magnetic particles velocity is analyzed and depicted by graphs. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=viscous%20fluid" title="viscous fluid">viscous fluid</a>, <a href="https://publications.waset.org/abstracts/search?q=magnetic%20particles" title=" magnetic particles"> magnetic particles</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20calculus" title=" fractional calculus"> fractional calculus</a>, <a href="https://publications.waset.org/abstracts/search?q=laplace%20transformation" title=" laplace transformation"> laplace transformation</a> </p> <a href="https://publications.waset.org/abstracts/90032/numerical-solution-of-magneto-hydrodynamic-flow-of-a-viscous-fluid-in-the-presence-of-nanoparticles-with-fractional-derivatives-through-a-cylindrical-tube" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/90032.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">206</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">18940</span> Theory and Practice of Wavelets in Signal Processing</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jalal%20Karam">Jalal Karam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The methods of Fourier, Laplace, and Wavelet Transforms provide transfer functions and relationships between the input and the output signals in linear time invariant systems. This paper shows the equivalence among these three methods and in each case presenting an application of the appropriate (Fourier, Laplace or Wavelet) to the convolution theorem. In addition, it is shown that the same holds for a direct integration method. The Biorthogonal wavelets Bior3.5 and Bior3.9 are examined and the zeros distribution of their polynomials associated ﬁlters are located. This paper also presents the signiﬁcance of utilizing wavelets as effective tools in processing speech signals for common multimedia applications in general, and for recognition and compression in particular. Theoretically and practically, wavelets have proved to be effective and competitive. The practical use of the Continuous Wavelet Transform (CWT) in processing and analysis of speech is then presented along with explanations of how the human ear can be thought of as a natural wavelet transformer of speech. This generates a variety of approaches for applying the (CWT) to many paradigms analysing speech, sound and music. For perception, the ﬂexibility of implementation of this transform allows the construction of numerous scales and we include two of them. Results for speech recognition and speech compression are then included. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=continuous%20wavelet%20transform" title="continuous wavelet transform">continuous wavelet transform</a>, <a href="https://publications.waset.org/abstracts/search?q=biorthogonal%20wavelets" title=" biorthogonal wavelets"> biorthogonal wavelets</a>, <a href="https://publications.waset.org/abstracts/search?q=speech%20perception" title=" speech perception"> speech perception</a>, <a href="https://publications.waset.org/abstracts/search?q=recognition%20and%20compression" title=" recognition and compression"> recognition and compression</a> </p> <a href="https://publications.waset.org/abstracts/5822/theory-and-practice-of-wavelets-in-signal-processing" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5822.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">416</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">18939</span> Vibration of Nanobeam Subjected to Constant Magnetic Field and Ramp-Type Thermal Loading under Non-Fourier Heat Conduction Law of Lord-Shulman</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hamdy%20M.%20Youssef">Hamdy M. Youssef</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, the usual Euler–Bernoulli nanobeam has been modeled in the context of Lord-Shulman thermoelastic theorem, which contains non-Fourier heat conduction law. The nanobeam has been subjected to a constant magnetic field and ramp-type thermal loading. The Laplace transform definition has been applied to the governing equations, and the solutions have been obtained by using a direct approach. The inversions of the Laplace transform have been calculated numerically by using Tzou approximation method. The solutions have been applied to a nanobeam made of silicon nitride. The distributions of the temperature increment, lateral deflection, strain, stress, and strain-energy density have been represented in figures with different values of the magnetic field intensity and ramp-time heat parameter. The value of the magnetic field intensity and ramp-time heat parameter have significant effects on all the studied functions, and they could be used as tuners to control the energy which has been generated through the nanobeam. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nanobeam" title="nanobeam">nanobeam</a>, <a href="https://publications.waset.org/abstracts/search?q=vibration" title=" vibration"> vibration</a>, <a href="https://publications.waset.org/abstracts/search?q=constant%20magnetic%20field" title=" constant magnetic field"> constant magnetic field</a>, <a href="https://publications.waset.org/abstracts/search?q=ramp-type%20thermal%20loading" title=" ramp-type thermal loading"> ramp-type thermal loading</a>, <a href="https://publications.waset.org/abstracts/search?q=non-Fourier%20heat%20conduction%20law" title=" non-Fourier heat conduction law"> non-Fourier heat conduction law</a> </p> <a href="https://publications.waset.org/abstracts/155279/vibration-of-nanobeam-subjected-to-constant-magnetic-field-and-ramp-type-thermal-loading-under-non-fourier-heat-conduction-law-of-lord-shulman" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/155279.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">138</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> Analytical Soliton Solutions of the Fractional Jaulent-Miodek System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sajeda%20Elbashabsheh">Sajeda Elbashabsheh</a>, <a href="https://publications.waset.org/abstracts/search?q=Kamel%20Al-Khaled"> Kamel Al-Khaled</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper applies a modified Laplace Adomian decomposition method to solve the time-fractional JaulentMiodek system. The method produce convergent series solutions with easily compatible components. This paper considers the Caputo fractional derivative. The effectiveness and applicability of the method are demonstrated by comparing its results with those of prior studies. Results are presented in tables and figures. These solutions might be imperative and significant for the explanation of some practical physical phenomena. All computations and figures in the work are done using MATHEMATICA. The numerical results demonstrate that the current methods are effective, reliable, and simple to i implement for nonlinear fractional partial differential equations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximate%20solutions" title="approximate solutions">approximate solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=Jaulent-Miodek%20system" title=" Jaulent-Miodek system"> Jaulent-Miodek system</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=solitons" title=" solitons"> solitons</a> </p> <a href="https://publications.waset.org/abstracts/186620/analytical-soliton-solutions-of-the-fractional-jaulent-miodek-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/186620.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">44</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> Linear fractional differential equations for second kind modified Bessel functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jorge%20Olivares">Jorge Olivares</a>, <a href="https://publications.waset.org/abstracts/search?q=Fernando%20Maass"> Fernando Maass</a>, <a href="https://publications.waset.org/abstracts/search?q=Pablo%20Martin"> Pablo Martin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Fractional derivatives have been considered recently as a way to solve different problems in Engineering. In this way, second kind modified Bessel functions are considered here. The order α fractional differential equations of second kind Bessel functions, Kᵥ(x), are studied with simple initial conditions. The Laplace transform and Caputo definition of fractional derivatives are considered. Solutions have been found for ν=1/3, 1/2, 2/3, -1/3, -1/2 and (-2/3). In these cases, the solutions are the sum of two hypergeometric functions. The α fractional derivatives have been for α=1/3, 1/2 and 2/3, and the above values of ν. No convergence has been found for the integer values of ν Furthermore when α has been considered as a rational found m/p, no general solution has been found. Clearly, this case is more difficult to treat than those of first kind Bessel Function. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Caputo" title="Caputo">Caputo</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20Bessel%20functions" title=" modified Bessel functions"> modified Bessel functions</a>, <a href="https://publications.waset.org/abstracts/search?q=hypergeometric" title=" hypergeometric"> hypergeometric</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20fractional%20differential%20equations" title=" linear fractional differential equations"> linear fractional differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=transform%20Laplace" title=" transform Laplace"> transform Laplace</a> </p> <a href="https://publications.waset.org/abstracts/91374/linear-fractional-differential-equations-for-second-kind-modified-bessel-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/91374.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">18936</span> A Two-Dimensional Problem Micropolar Thermoelastic Medium under the Effect of Laser Irradiation and Distributed Sources</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Devinder%20Singh">Devinder Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Rajneesh%20Kumar"> Rajneesh Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=Arvind%20Kumar"> Arvind Kumar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present investigation deals with the deformation of micropolar generalized thermoelastic solid subjected to thermo-mechanical loading due to a thermal laser pulse. Laplace transform and Fourier transform techniques are used to solve the problem. Thermo-mechanical laser interactions are taken as distributed sources to describe the application of the approach. The closed form expressions of normal stress, tangential stress, coupled stress and temperature are obtained in the domain. Numerical inversion technique of Laplace transform and Fourier transform has been implied to obtain the resulting quantities in the physical domain after developing a computer program. The normal stress, tangential stress, coupled stress and temperature are depicted graphically to show the effect of relaxation times. Some particular cases of interest are deduced from the present investigation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=pulse%20laser" title="pulse laser">pulse laser</a>, <a href="https://publications.waset.org/abstracts/search?q=integral%20transform" title=" integral transform"> integral transform</a>, <a href="https://publications.waset.org/abstracts/search?q=thermoelastic" title=" thermoelastic"> thermoelastic</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20value%20problem" title=" boundary value problem"> boundary value problem</a> </p> <a href="https://publications.waset.org/abstracts/33535/a-two-dimensional-problem-micropolar-thermoelastic-medium-under-the-effect-of-laser-irradiation-and-distributed-sources" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33535.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">615</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> Effects of Daily Temperature Changes on Transient Heat and Moisture Transport in Unsaturated Soils</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Davood%20Yazdani%20Cherati">Davood Yazdani Cherati</a>, <a href="https://publications.waset.org/abstracts/search?q=Ali%20Pak"> Ali Pak</a>, <a href="https://publications.waset.org/abstracts/search?q=Mehrdad%20Jafarzadeh"> Mehrdad Jafarzadeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research contains the formulation of a two-dimensional analytical solution to transient heat, and moisture flow in a semi-infinite unsaturated soil environment under the influence of daily temperature changes. For this purpose, coupled energy conservation and mass fluid continuity equations governing hydrothermal behavior of unsaturated soil media are presented in terms of temperature and volumetric moisture content. In consideration of the soil environment as an infinite half-space and by linearization of the governing equations, Laplace–Fourier transformation is conducted to convert differential equations with partial derivatives (PDEs) to ordinary differential equations (ODEs). The obtained ODEs are solved, and the inverse transformations are calculated to determine the solution to the system of equations. Results indicate that heat variation induces moisture transport in both horizontal and vertical directions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytical%20solution" title="analytical solution">analytical solution</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20conduction" title=" heat conduction"> heat conduction</a>, <a href="https://publications.waset.org/abstracts/search?q=hydrothermal%20analysis" title=" hydrothermal analysis"> hydrothermal analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=laplace%E2%80%93fourier%20transformation" title=" laplace–fourier transformation"> laplace–fourier transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=two-dimensional" title=" two-dimensional"> two-dimensional</a> </p> <a href="https://publications.waset.org/abstracts/112397/effects-of-daily-temperature-changes-on-transient-heat-and-moisture-transport-in-unsaturated-soils" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/112397.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">216</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=Laplace%20method&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Laplace%20method&page=3">3</a></li> <li class="page-item"><a class="page-link" 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