A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order

被引：127
|
作者：
Saeedi, H. [1 ,3 ]
Moghadam, M. Mohseni [2 ]
Mollahasani, N. [3 ]
Chuev, G. N. [3 ,4 ]
机构：
[1] Shahid Bahonar Univ Kerman, Fac Math & Comp Sci, Dept Math, Kerman 7616914111, Iran
[2] Shahid Bahonar Univ Kerman, Mahani Math Res Ctr, Kerman 7616914111, Iran
[3] Max Planck Inst Math Sci MIS, D-04103 Leipzig, Germany
[4] Russian Acad Sci, Inst Theoret & Expt Biophys, Pushchino 142290, Moscow Region, Russia
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 03期
关键词：
Fractional calculus; CAS wavelets; Fredholm integro-differential equations; INTEGRAL-EQUATIONS; SOLVENT RESPONSE; FREE-ENERGY; HYDRATION; RISM;
D O I：
10.1016/j.cnsns.2010.05.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present a computational method for solving a class of nonlinear Fredholm integro-differential equations of fractional order which is based on CAS (Cosine And Sine) wavelets. The CAS wavelet operational matrix of fractional integration is derived and used to transform the equation to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the technique. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1154 / 1163
页数：10
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