Numerical solution of a class of fractional order integro-differential algebraic equations using Muntz-Jacobi Tau method

被引：6
作者：
Ghanbari, F. [1 ]
Mokhtary, P. [1 ]
Ghanbari, K. [1 ]
机构：
[1] Sahand Univ Technol, Fac Basic Sci, Dept Math, Tabriz, Iran
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 362卷
关键词：
Fractional order Volterra integro-differential algebraic equation; Muntz-Jacobi Tau method; Numerical solvability; Convergence analysis; CONVERGENCE ANALYSIS; COLLOCATION METHODS; SPLINE COLLOCATION; SYSTEMS;
D O I：
10.1016/j.cam.2019.05.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a spectral Tau method based on Muntz-Jacobi basis functions for approximating the solutions of fractional order Volterra integro-differential algebraic equations. We examine the solvability of the considered equation, and we show that the exact solutions suffer from a singularity at the origin. Numerical solvability and convergence analysis of the proposed approximate approach are also studied, and the error bounds are obtained in a weighted L-2-norm. Some illustrative examples are presented to validate the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：172 / 184
页数：13
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