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Numerical analysis of fractional differential equation by TSI-wavelet method | ||
| Computational Methods for Differential Equations | ||
| مقاله 2، دوره 9، شماره 3، مهر 2021، صفحه 659-669 اصل مقاله (358.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.29679.1429 | ||
| نویسندگان | ||
Farhad Shariffar؛ Amir Hossein Refahi Sheikhani  ؛ Mohammad Mashoof
| ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran. | ||
| چکیده | ||
| In this paper, we propose a new numerical algorithm for the approximate solution of non-homogeneous fractional differential equation. Using this algorithm the fractional differential equations are transformed into a system of algebraic linear equations by operational matrices of block-pulse and hybrid functions. Based on our new algorithm, this system of algebraic linear equations can be solved by a proposed (TSI) method. Further, some numerical examples are given to illustrate and establish the accuracy and reliability of the proposed algorithm. | ||
| کلیدواژهها | ||
| Fractional differential equation؛ Block-pulse wavelet؛ Hybrid function؛ Operational matrices؛ Two stage iterative method | ||
| مراجع | ||
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