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

Autor:	P. Mokhtary, F. Ghanbari, Kazem Ghanbari
Rok vydání:	2019
Předmět:	Computational Mathematics Algebraic equation Class (set theory) Singularity Applied Mathematics Convergence (routing) Applied mathematics Order (ring theory) Basis function Muntz metal Differential algebraic equation Mathematics
Zdroj:	Journal of Computational and Applied Mathematics. 362:172-184
ISSN:	0377-0427
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0191f4d8cdbe14027f8412fd00533568 https://doi.org/10.1016/j.cam.2019.05.026 Zobrazit plný text záznamu Full Text from ScienceDirect