Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations

Autor:	Yousefi, A., Javadi, S., Babolian, E., Moradi, E.
Rok vydání:	2018
Předmět:	Mathematics - Numerical Analysis 34-XX-34Kxx-34K28 F.2.1
Druh dokumentu:	Working Paper
DOI:	10.1016/j.cam.2019.02.022
Popis:	In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is described in the Caputo sense. Our proposed method is illustrated by considering some examples whose exact solutions are available. We prove that the error of the approximate solution decay exponentially in L^2-norm. Comment: 20 pages, 5 figures, 1 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1801.00564 Zobrazit plný text záznamu View this record from Arxiv