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Solution of Davey-Stewartson equations by homotopy perturbation method |
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| Authors: | H. A. Zedan S. Sh. Tantawy |
| Affiliation: | (1) Math. Dept., Faculty of Science, Kafr El-Sheikh University, Kafr El-Sheikh, Egypt;(2) Math. Dept., Faculty of Education, Ain Shams University, Cairo, Egypt |
| Abstract: | In this paper, we extend the homotopy perturbation method to solve the Davey-Stewartson equations. The homotopy perturbation method is employed to compute an approximation to the solution of the equations. Computation the absolute errors between the exact solutions of the Davey-Stewartson equations and the HPM solutions are presented. Some plots are given to show the simplicity the method. The article is published in the original. |
| Keywords: | differential equations of Davey-Stewartson method of approximated solution homotopy perturbation method computation of absolute errors of the method |
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