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Modified homotopy method to solve non-linear integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 12، دوره 6، شماره 2، بهمن 2015، صفحه 133-136 اصل مقاله (256.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2015.262 | ||
| نویسنده | ||
| Mohsen Rabbani | ||
| Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran | ||
| تاریخ دریافت: 24 دی 1393، تاریخ بازنگری: 27 فروردین 1394، تاریخ پذیرش: 14 تیر 1394 | ||
| چکیده | ||
| In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre polynomials, expansion functions, trigonometric functions and etc. In the proposed method we obtain all of the solutions of the non-linear integral equations. For showing ability and validity proposed method we compare our results with some works. | ||
| کلیدواژهها | ||
| Homotopy perturbation؛ integral equations؛ Non-linear؛ Basis Functions؛ Legendre Polynomials | ||
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