Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system

被引：63

作者：

Sahu, P. K. ^{[1
]}

Ray, S. Saha ^{[1
]}

机构：

[1] Natl Inst Technol Rourkela, Dept Math, Odisha 769008, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 256卷

关键词：

Legendre wavelets; Integro-differential equations; System of nonlinear Volterra integral equations; Legendre wavelet method; MATRIX; MODEL;

D O I：

10.1016/j.amc.2015.01.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Legendre wavelet method is developed to approximate the solutions of system of nonlinear Volterra integro-differential equations. The properties of Legendre wavelets are first presented. The properties of Legendre wavelets are used to reduce the system of integral equations to a system of algebraic equations which can be solved numerically by Newton's method. Also, the results obtained by present method have been compared with that of by B-spline wavelet method. Illustrative examples have been discussed to demonstrate the validity and applicability of the present method. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：715 / 723

页数：9

共 19 条

[1]

[Anonymous], 2011, LINEAR NONLINEAR INT

[2] FAST WAVELET TRANSFORMS AND NUMERICAL ALGORITHMS .1. [J].