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- Title
A fast numerical algorithm based on the Taylor wavelets for solving the fractional integro‐differential equations with weakly singular kernels.
- Authors
Keshavarz, Elham; Ordokhani, Yadollah
- Abstract
In this paper, a fast numerical algorithm based on the Taylor wavelets is proposed for finding the numerical solutions of the fractional integro‐differential equations with weakly singular kernels. The properties of Taylor wavelets are given, and the operational matrix of fractional integration is constructed. These wavelets are utilized to reduce the solution of the given fractional integro‐differential equation to the solution of a linear system of algebraic equations. Also, convergence of the proposed method is studied. Illustrative examples are included to demonstrate the validity and applicability of the technique.
- Subjects
INTEGRO-differential equations; NUMERICAL solutions to integro-differential equations; ALGEBRAIC equations; LINEAR equations; ALGORITHMS
- Publication
Mathematical Methods in the Applied Sciences, 2019, Vol 42, Issue 13, p4427
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.5663