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...
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| التنسيق: | أطروحة |
| اللغة: | English |
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2017
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| الوصول للمادة أونلاين: | http://eprints.utm.my/id/eprint/78928/1/NuraisyahMohamedDaudMFS2017.pdf |
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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 |