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Alpert wavelet system for solving fractional nonlinear Fredholm integro-differential equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 9، دوره 9، شماره 3، مهر 2021، صفحه 762-773 اصل مقاله (381.29 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.35252.1604 | ||
| نویسندگان | ||
| Shabnam Paseban Hag1؛ Elnaz Osgooei* 1؛ Elmira Ashpazzadeh2 | ||
| 1Faculty of Science, Urmia University of Technology, Urmia, Iran. | ||
| 2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. | ||
| چکیده | ||
| In this paper, we first construct Alpert wavelet system and propose a computational method for solving a fractional nonlinear Fredholm integro-differential equation. Then we create an operational matrix of fractional integration and use it to simplify the equation to a system of algebraic equations. By using Newtons iterative method, this system is solved and the solution of the fractional nonlinear Fredholm integro-differential equations is achieved. Thresholding parameter is used to increase the sparsity of matrix coefficients and the speed of computations. Finally, the method is demonstrated by examples, and then compared results with CAS wavelet method show that our proposed method is more effective and accurate. | ||
| کلیدواژهها | ||
| Alpert wavelet system؛ Fredholm integro-differential equation؛ Operational matrix؛ Fractional equation | ||
| مراجع | ||
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