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

被引：6

作者：

Yousefi, A. ^{[1
]}

Javadi, S. ^{[1
]}

Babolian, E. ^{[1
]}

Moradi, E. ^{[1
]}

机构：

[1] Kharazmi Univ, Fac Math Sci & Comp, Dept Comp Sci, Tehran, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 358卷

关键词：

Chebyshev-Legendre spectral method; Caputo derivative; Fractional integro-differential equations; Convergence analysis; QUADRATURE TAU METHOD; DIFFERENTIAL-EQUATIONS; INTEGRAL-EQUATIONS; FAST ALGORITHM;

D O I：

10.1016/j.cam.2019.02.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 decays exponentially in L-2-norm. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：97 / 110

页数：14

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