Legendre wavelets method for solving fractional integro-differential equations

被引：47

作者：

Meng, Zhijun ^{[1
]}

Wang, Lifeng ^{[1
]}

Li, Hao ^{[2
]}

Zhang, Wei ^{[2
]}

机构：

[1] Beihang Univ, Sch Aeronaut Sci & Technol, Beijing 100191, Peoples R China

[2] Aviat Representat Bur Beijing, Beijing 100101, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2015年 / 92卷 / 06期

基金：

中国国家自然科学基金;

关键词：

65D15; 65L70; 65D30; operational matrix; Legendre wavelets; numerical solution; convergence; fractional integro-differential equation; PARTIAL-DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; TRANSFORM METHOD; ORDER; DIFFUSION;

D O I：

10.1080/00207160.2014.932909

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the constructed Legendre wavelets operational matrix of integration of fractional order, a numerical method for solving linear and nonlinear fractional integro-differential equations is proposed. By using the operational matrix, the linear and nonlinear fractional integro-differential equations are reduced to a system of algebraic equations which are solved through known numerical algorithms. The upper bound of the error of the Legendre wavelets expansion is investigated in Theorem 5.1. Finally, four numerical examples are shown to illustrate the efficiency and accuracy of the approach.

引用

页码：1275 / 1291

页数：17

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