Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets

被引：81

作者：

Saeedi, H. ^{[1
]}

Moghadam, M. Mohseni ^{[2
]}

机构：

[1] Sahid Bahonar Univ Kerman, Dept Math, Kerman, Iran

[2] Sahid Bahonar Univ Kerman, Mahani Math Res Ctr, Kerman, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 03期

关键词：

Fractional calculus; CAS wavelet; Nonlinear integro-differential equation; Block pulse function; Operational matrix;

D O I：

10.1016/j.cnsns.2010.07.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A computational method for numerical solution of a nonlinear Volterra integro-differential equation of fractional (arbitrary) order which is based on CAS wavelets and BPFs is introduced. The CAS wavelet operational matrix of fractional integration is derived and used to transform the main 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

页码：1216 / 1226

页数：11

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