The method of lines solution of the Forced Korteweg-de Vries-Burgers equation
In this paper, the application of the method of lines (MOL) to the Forced Korteweg-de Vries-Burgers equation with variable coefficient (FKdVB) is presented. The MOL is a powerful technique for solving partial differential equations by typically using finite-difference approximations for the spati...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit UTM Press
2017
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| Subjects: | |
| Online Access: | http://ir.unimas.my/id/eprint/17239/1/The%20method%20of%20lines%20solution%20of%20the%20Forced%20%28abstract%29.pdf http://ir.unimas.my/id/eprint/17239/ http://www.matematika.utm.my/index.php/matematika/article/view/944 |
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| Institution: | Universiti Malaysia Sarawak |
| Language: | English |
| Summary: | In this paper, the application of the method of lines (MOL) to the Forced
Korteweg-de Vries-Burgers equation with variable coefficient (FKdVB) is presented.
The MOL is a powerful technique for solving partial differential equations by typically
using finite-difference approximations for the spatial derivatives and ordinary differ-
ential equations (ODEs) for the time derivative. The MOL approach of the FKdVB
equation leads to a system of ODEs. The solution of the system of ODEs is obtained
by applying the Fourth-Order Runge-Kutta (RK4) method. The numerical solution
obtained is then compared with its progressive wave solution in order to show the
accuracy of the MOL method. |
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