Finite difference method for numerical solution of a generalized burgers-huxley equation

There are many applications of the generalized Burgers-Huxley equation which is a form of nonlinear Partial Differential Equation such as in the work of physicist which can effectively models the interaction between reaction mechanisms, convection effects and diffusion transports. This study investi...

Full description

Saved in:

Bibliographic Details
Main Author:	Mohamed Daud, Nuraisyah
Format:	Thesis
Language:	English
Published:	2017
Subjects:	Q Science (General)
Online Access:	http://eprints.utm.my/id/eprint/78928/1/NuraisyahMohamedDaudMFS2017.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-utm-ep.78928
record_format	uketd_dc
spelling	my-utm-ep.789282018-09-17T07:23:18Z Finite difference method for numerical solution of a generalized burgers-huxley equation 2017-04 Mohamed Daud, Nuraisyah Q Science (General) There are many applications of the generalized Burgers-Huxley equation which is a form of nonlinear Partial Differential Equation such as in the work of physicist which can effectively models the interaction between reaction mechanisms, convection effects and diffusion transports. This study investigates on the implementation of numerical method for solving the generalized Burgers-Huxley equation. The method is known as the Finite Difference Method which can be employed using several approaches and this work focuses on the Explicit Method, the Modified Local Crank-Nicolson (MLCN) Method and Nonstandard Finite Difference Schemes (NFDS). In order to use the NFDS, due to a lack of boundary condition provided in the problem, this research used the Forward Time Central Space (FTCS) Method to approximate the first step in time. Thomas Algorithm was applied for the methods that lead to a system of linear equation. Computer codes are provided for these methods using the MATLAB software. The results obtained are compared among the three methods with the exact solution for determining their accuracy. Results shows that NFDS has the lowest relative error and one of the best way among these three methods in order to solve the generalized Burgers-Huxley equations. 2017-04 Thesis http://eprints.utm.my/id/eprint/78928/ http://eprints.utm.my/id/eprint/78928/1/NuraisyahMohamedDaudMFS2017.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:109749 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) Mohamed Daud, Nuraisyah Finite difference method for numerical solution of a generalized burgers-huxley equation
description	There are many applications of the generalized Burgers-Huxley equation which is a form of nonlinear Partial Differential Equation such as in the work of physicist which can effectively models the interaction between reaction mechanisms, convection effects and diffusion transports. This study investigates on the implementation of numerical method for solving the generalized Burgers-Huxley equation. The method is known as the Finite Difference Method which can be employed using several approaches and this work focuses on the Explicit Method, the Modified Local Crank-Nicolson (MLCN) Method and Nonstandard Finite Difference Schemes (NFDS). In order to use the NFDS, due to a lack of boundary condition provided in the problem, this research used the Forward Time Central Space (FTCS) Method to approximate the first step in time. Thomas Algorithm was applied for the methods that lead to a system of linear equation. Computer codes are provided for these methods using the MATLAB software. The results obtained are compared among the three methods with the exact solution for determining their accuracy. Results shows that NFDS has the lowest relative error and one of the best way among these three methods in order to solve the generalized Burgers-Huxley equations.
format	Thesis
qualification_level	Master's degree
author	Mohamed Daud, Nuraisyah
author_facet	Mohamed Daud, Nuraisyah
author_sort	Mohamed Daud, Nuraisyah
title	Finite difference method for numerical solution of a generalized burgers-huxley equation
title_short	Finite difference method for numerical solution of a generalized burgers-huxley equation
title_full	Finite difference method for numerical solution of a generalized burgers-huxley equation
title_fullStr	Finite difference method for numerical solution of a generalized burgers-huxley equation
title_full_unstemmed	Finite difference method for numerical solution of a generalized burgers-huxley equation
title_sort	finite difference method for numerical solution of a generalized burgers-huxley equation
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2017
url	http://eprints.utm.my/id/eprint/78928/1/NuraisyahMohamedDaudMFS2017.pdf
_version_	1747818105858424832

Finite difference method for numerical solution of a generalized burgers-huxley equation

Similar Items