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

被引：61
|
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.
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页码：715 / 723
页数：9
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