A numerical solution of variable order diffusion and wave equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 12، شماره 1، مرداد 2021، صفحه 27-36 اصل مقاله (822.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4652 | ||
| نویسندگان | ||
| Nematollah Kadkhoda* 1؛ Hossein Jafari2؛ R.M. Ganji3 | ||
| 1Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaenat, Iran. | ||
| 2Department of Mathematics, University of Mazandaran, Babolsar, Iran. Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa. | ||
| 3Department of Mathematics, University of Mazandaran, Babolsar, Iran. | ||
| چکیده | ||
| In this work, we consider variable order difusion and wave equations. The derivative is described in the Caputo sence of variable order. We use the Genocchi polynomials as basic functions and obtain operational matrices via these polynomials. These matrices and collocation method help us to convert variable order diffusion and wave equations to an algebraic system. Some examples are given to show the validity of the presented method. | ||
| کلیدواژهها | ||
| Variable order diffusion and wave equations؛ Genocchi polynomials؛ Operational matrix؛ Collocation method | ||
| مراجع | ||
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