Numerical solution of fractional integro-differential equations by a hybrid collocation method

被引：97

作者：

Ma, Xiaohua ^{[1
]}

Huang, Chengming ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 12期

关键词：

Fractional integro-differential equation; Hybrid collocation method; Numerical method; Convergence order; VOLTERRA INTEGRAL-EQUATIONS; WEAKLY SINGULAR KERNELS; DIFFERENTIAL-EQUATIONS; ADOMIAN DECOMPOSITION; SOLVING SYSTEMS; EXISTENCE;

D O I：

10.1016/j.amc.2012.12.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fractional integro-differential equations have been recently solved by many methods, such as Adomian decomposition method, differential transform method, collocation method and Taylor expansion approach. In this paper a hybrid collocation method is used which combines a non-polynomial collocation used on the first subinterval and graded piecewise polynomial collocation used on the rest of the interval. A theoretical analysis for the convergence order of the method is presented. Some numerical examples are given which confirm the theoretical results. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：6750 / 6760

页数：11

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