Finite different method and differential Quadrature method for solving burgers’ equation / Muhammad Afiq Khasim and Abdul Rahim Zulkefli

In this study, the Finite Difference Method and Differential Quadrature Method are used to solve the Burgers equation. The different number nodes and different initial condition are used in these methods to investigate in terms of accuracy. The solutions of these methods are compared in terms of acc...

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Main Authors:	Khasim, Muhammad Afiq, Zulkefli, Abdul Rahim
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Equations Analytical methods used in the solution of physical problems
Online Access:	https://ir.uitm.edu.my/id/eprint/40048/1/40048.pdf
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id	my-uitm-ir.40048
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spelling	my-uitm-ir.400482021-01-04T10:51:14Z Finite different method and differential Quadrature method for solving burgers’ equation / Muhammad Afiq Khasim and Abdul Rahim Zulkefli 2019-07 Khasim, Muhammad Afiq Zulkefli, Abdul Rahim Equations Mathematical statistics. Probabilities Differential equations. Runge-Kutta formulas Analytical methods used in the solution of physical problems In this study, the Finite Difference Method and Differential Quadrature Method are used to solve the Burgers equation. The different number nodes and different initial condition are used in these methods to investigate in terms of accuracy. The solutions of these methods are compared in terms of accuracy of the numerical solution by using the graph. C++ are used to find numerical solution for those method and the exact solution solve by using maple. For results and tabulate, result are collected to compare the solution in terms of the accuracy of the numerical solution with the exact solution. The different number of nodes and difference initial condition can affect the solution of burgers equation in term of accuracy study. To find the best method to solve this equation, those method compare by using sum of square error, SSE. Decreasing the number of nodes will increasing the errors of the solution. Generally, from the results between Finite Difference Method and Differential Quadrature Method showed the Differential Quadrature Method is better than the Finite Difference Method in terms of accuracy of the numerical solution. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/40048/ https://ir.uitm.edu.my/id/eprint/40048/1/40048.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Ab Aziz, Amiruddin
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Ab Aziz, Amiruddin
topic	Equations Equations Equations Analytical methods used in the solution of physical problems
spellingShingle	Equations Equations Equations Analytical methods used in the solution of physical problems Khasim, Muhammad Afiq Zulkefli, Abdul Rahim Finite different method and differential Quadrature method for solving burgers’ equation / Muhammad Afiq Khasim and Abdul Rahim Zulkefli
description	In this study, the Finite Difference Method and Differential Quadrature Method are used to solve the Burgers equation. The different number nodes and different initial condition are used in these methods to investigate in terms of accuracy. The solutions of these methods are compared in terms of accuracy of the numerical solution by using the graph. C++ are used to find numerical solution for those method and the exact solution solve by using maple. For results and tabulate, result are collected to compare the solution in terms of the accuracy of the numerical solution with the exact solution. The different number of nodes and difference initial condition can affect the solution of burgers equation in term of accuracy study. To find the best method to solve this equation, those method compare by using sum of square error, SSE. Decreasing the number of nodes will increasing the errors of the solution. Generally, from the results between Finite Difference Method and Differential Quadrature Method showed the Differential Quadrature Method is better than the Finite Difference Method in terms of accuracy of the numerical solution.
format	Thesis
qualification_level	Bachelor degree
author	Khasim, Muhammad Afiq Zulkefli, Abdul Rahim
author_facet	Khasim, Muhammad Afiq Zulkefli, Abdul Rahim
author_sort	Khasim, Muhammad Afiq
title	Finite different method and differential Quadrature method for solving burgers’ equation / Muhammad Afiq Khasim and Abdul Rahim Zulkefli
title_short	Finite different method and differential Quadrature method for solving burgers’ equation / Muhammad Afiq Khasim and Abdul Rahim Zulkefli
title_full	Finite different method and differential Quadrature method for solving burgers’ equation / Muhammad Afiq Khasim and Abdul Rahim Zulkefli
title_fullStr	Finite different method and differential Quadrature method for solving burgers’ equation / Muhammad Afiq Khasim and Abdul Rahim Zulkefli
title_full_unstemmed	Finite different method and differential Quadrature method for solving burgers’ equation / Muhammad Afiq Khasim and Abdul Rahim Zulkefli
title_sort	finite different method and differential quadrature method for solving burgers’ equation / muhammad afiq khasim and abdul rahim zulkefli
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/40048/1/40048.pdf
_version_	1783734557232594944

Finite different method and differential Quadrature method for solving burgers’ equation / Muhammad Afiq Khasim and Abdul Rahim Zulkefli

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