Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral

被引：2

作者：

Kang, Yong-Suk ^{[1
]}

Jo, Son-Hyang ^{[1
]}

机构：

[1] Kim Il Sung Univ, Fac Math, Pyongyang, North Korea

来源：

MATHEMATICAL SCIENCES | 2024年 / 18卷 / 01期

关键词：

Spectral collocation method; Fractional integro-differential equations; Nonlinear integral; Caputo derivative; Gauss-quadrature; NUMERICAL-SOLUTION; DIFFERENTIAL-EQUATIONS; CONVERGENCE ANALYSIS; SCHEME;

D O I：

10.1007/s40096-022-00487-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we solve the multi-term fractional integro-differential equations with variable coefficients and nonlinear integral using spectral collocation method. We construct a spectral collocation algorithm and provide the rigorous error analysis of our method for the equations with variable coefficients and nonlinear integral. Finally, we give some numerical examples to show the convergence rate and efficiency of the presented method.

引用

页码：91 / 106

页数：16

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