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

[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.

[发布日期] 2019-12-15

[关键词] Fractional order Volterra integro-differential algebraic equation;Muntz-Jacobi Tau method;Numerical solvability;Convergence analysis