Parallel calculation of differential quadrature method for the burgers-huxley equation

Parallel calculation of differential quadrature method for the burgers-huxley equation

In this study, the Burgers-Huxley equation with Dirichlet?s boundary conditions is treated by the Differential Quadrature method (DQM). The different types of grid points spacing used in the DQM, which is the equally-spaced and the Chebychev-Gauss-Lobatto grid points have been investigated on their...

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Main Author: Ng, Su Ling
Format: Thesis
Language:English
Published: 2010
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/16580/5/NgSuLingMFS2010.pdf
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spelling my-utm-ep.165802017-09-20T06:34:07Z Parallel calculation of differential quadrature method for the burgers-huxley equation 2010-11 Ng, Su Ling Q Science (General) In this study, the Burgers-Huxley equation with Dirichlet?s boundary conditions is treated by the Differential Quadrature method (DQM). The different types of grid points spacing used in the DQM, which is the equally-spaced and the Chebychev-Gauss-Lobatto grid points have been investigated on their effect on the accuracy of results generated. The finite difference method (FDM) will be used to solve some examples of Burgers-Huxley equation in order to compare with the solutions obtained by DQM to show the stability and accuracy of the numerical method. Then, the set of ordinary differential equations obtained is solved by using different types of implicit Runge-Kutta (RK) methods. C language programmes have been developed based on the examples discussed. Also, shared memory architecture of parallel computing is done by using OpenMP in order to reduce the time taken in simulating the numerical results. Consequently, the results showed that the Differential Quadrature method is a good alternative in approximating the Burgers-Huxley equation with excellent accuracy and stability. 2010-11 Thesis http://eprints.utm.my/id/eprint/16580/ http://eprints.utm.my/id/eprint/16580/5/NgSuLingMFS2010.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic Q Science (General)
spellingShingle Q Science (General)
Ng, Su Ling
Parallel calculation of differential quadrature method for the burgers-huxley equation
description In this study, the Burgers-Huxley equation with Dirichlet?s boundary conditions is treated by the Differential Quadrature method (DQM). The different types of grid points spacing used in the DQM, which is the equally-spaced and the Chebychev-Gauss-Lobatto grid points have been investigated on their effect on the accuracy of results generated. The finite difference method (FDM) will be used to solve some examples of Burgers-Huxley equation in order to compare with the solutions obtained by DQM to show the stability and accuracy of the numerical method. Then, the set of ordinary differential equations obtained is solved by using different types of implicit Runge-Kutta (RK) methods. C language programmes have been developed based on the examples discussed. Also, shared memory architecture of parallel computing is done by using OpenMP in order to reduce the time taken in simulating the numerical results. Consequently, the results showed that the Differential Quadrature method is a good alternative in approximating the Burgers-Huxley equation with excellent accuracy and stability.
format Thesis
qualification_level Master's degree
author Ng, Su Ling
author_facet Ng, Su Ling
author_sort Ng, Su Ling
title Parallel calculation of differential quadrature method for the burgers-huxley equation
title_short Parallel calculation of differential quadrature method for the burgers-huxley equation
title_full Parallel calculation of differential quadrature method for the burgers-huxley equation
title_fullStr Parallel calculation of differential quadrature method for the burgers-huxley equation
title_full_unstemmed Parallel calculation of differential quadrature method for the burgers-huxley equation
title_sort parallel calculation of differential quadrature method for the burgers-huxley equation
granting_institution Universiti Teknologi Malaysia, Faculty of Science
granting_department Faculty of Science
publishDate 2010
url http://eprints.utm.my/id/eprint/16580/5/NgSuLingMFS2010.pdf
_version_ 1747815077556256768

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