Analytical solutions for the fractional nonlinear telegraph equation using a modified homotopy perturbation and separation of variables methods | ||
| Iranian Journal of Science | ||
| مقاله 4، دوره 38، شماره 4، اسفند 2014، صفحه 423-433 اصل مقاله (479.47 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2558 | ||
| نویسندگان | ||
| H. Kheiri* ؛ S. Irandoust-Pakchin؛ M. Javidi | ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| In this paper, first a new homotopy perturbation method for solving a fractional order nonlinear telegraph equation is introduced. By applying the proposed method, the nonlinear equation is translated to linear equations for per iteration of homotopy perturbation method. Then, the obtained problems are solved with separation method. In the examples, it is illustrated that the exact solution is obtained in one iteration by conveniently separating source term of equation. | ||
| کلیدواژهها | ||
| fractional؛ Telegraph equation؛ Caputo derivative؛ homotopy perturbation؛ separation of variables؛ Mittag-Leffler | ||
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آمار تعداد مشاهده مقاله: 1,831 تعداد دریافت فایل اصل مقاله: 1,329 |
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