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Dr. Mohamed Meabed Bayumi Khader :: Publications: |
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| Title: | On the convergence of variational iteration method applied to nonlinear coupled system of partial differential equations, International Journal of Computer Mathematics, 87(5), p.(1120-1130), (2010). |
| Authors: | N. H. Sweilam and M. M. Khader |
| Year: | 2010 |
| Keywords: | Not Available |
| Journal: | Not Available |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | Local |
| Paper Link: | Not Available |
| Full paper | Mohamed Meabed Bayumi Khader_PAPER_03.pdf |
| Supplementary materials | Not Available |
| Abstract: |
The purpose of this study is to introduce a modification of the homotopy perturbation method using Laplace transform and Padé approximation to obtain closed form solutions of non-linear coupled systems of partial differential equations. Two test examples are given; the coupled non-inear system of Burger equations and the coupled non-linear system in one dimensional thermo-elasticity. The results obtained ensure that this modification is capable of solving a large number of non-linear differential equations that have wide application in physics and engineering. |
