The Legendre wavelet method for solving fractional differential equations

被引：194

作者：

Rehman, Mujeeb Ur ^{[1
]}

Khan, Rahmat Ali ^{[2
]}

机构：

[1] NUST, Ctr Adv Math & Phys, Sector H 12, Islamabad, Pakistan

[2] Univ Malakand, Chakdara Dir L, Khyber Pakhutoo, Pakistan

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 11期

关键词：

Fractional differential equations; Operational matrices; Legendre wavelets; BOUNDARY-VALUE PROBLEM; NUMERICAL-SOLUTION; OPERATIONAL MATRIX; INTEGRAL-EQUATIONS;

D O I：

10.1016/j.cnsns.2011.01.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fractional differential equations are solved using the Legendre wavelets. An operational matrix of fractional order integration is derived and is utilized to reduce the fractional differential equations to system of algebraic equations. The illustrative examples are provided to demonstrate the applicability, simplicity of the numerical scheme based on the Legendre. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：4163 / 4173

页数：11

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