Legendre Spectral Tau Method for Solving the Fractional Integro-Differential Equations with A Weakly Singular Kernel

Author(s):

Ruhangiz Azimi * , Mostafa Mohagheghy Nezhad , Reza Pourgholi

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
‎In this paper‎, ‎the Tau method based on shifted Legendre polynomials has been introduced to approximate the numerical solutions of a class of fractional integro-differential equations with a weakly singular kernel‎ . ‎By using operational matrices we reduce the problem to a set of algebraic equations‎ . ‎Also the upper bound of the error of the shifted Legendre expansion is investigated‎. ‎Finally‎, ‎several numerical examples are given to illustrate the high accuracy of the method‎.
Keywords:

Shifted Legendre Tau method , Weakly singular kernel , Fractional integro-differential equation

Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:7 Issue: 1, Summer and Autumn 2022
Pages:
11 to 31
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