A numerical method for solving boundary value problems for fractional differential equations

被引：93
|
作者：
Rehman, Mujeeb Ur [1 ]
Khan, Rahmat Ali [2 ]
机构：
[1] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Islamabad, Pakistan
[2] Univ Malakand, Chakdara Dir L, Khyber Pakhutoo, Pakistan
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 03期
关键词：
Fractional differential equations; Operational matrices; Wavelets; Boundary value problems; WAVELETS OPERATIONAL MATRIX; HOMOTOPY PERTURBATION METHOD; INTEGRAL-EQUATIONS; 2ND KIND; CALCULUS;
D O I：
10.1016/j.apm.2011.07.045
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A numerical scheme, based on the Haar wavelet operational matrices of integration for solving linear two-point and multi-point boundary value problems for fractional differential equations is presented. The operational matrices are utilized to reduce the fractional differential equation to system of algebraic equations. Numerical examples are provided to demonstrate the accuracy and efficiency and simplicity of the method. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：894 / 907
页数：14
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