Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634222 | Applied Mathematics and Computation | 2008 | 9 Pages |
Abstract
In this paper, homotopy perturbation method is directly extended to investigate nonlinear coupled equations with parameters derivative and to derive their numerical solutions. These nonlinear coupled equations with parameters derivative contain many important mathematical physics equations and reaction–diffusion equations. By choosing different values of the parameters in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained. The efficiency and accuracy of the method are verified by using two famous examples: coupled Burgers and mKdV equations. Numerical solutions show that good results have been achieved.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yong Chen, Hongli An,