Chebyshev wavelets approach for nonlinear systems of Volterra integral equations

被引：62

作者：

Biazar, J. ^{[1
]}

Ebrahimi, H. ^{[1
]}

机构：

[1] Univ Guilan, Fac Math Sci, Dept Appl Math, Rasht 4193833697, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 03期

关键词：

Chebyshev wavelets method; Mother wavelet; Operational matrix; Systems of Volterra integral equations; OPERATIONAL MATRIX; NUMERICAL-SOLUTION;

D O I：

10.1016/j.camwa.2011.09.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new approach for solving nonlinear systems of Volterra integral equations has been proposed. The method is based on Chebyshev wavelets approximations. The method is described and after that the error is analyzed. At the end, some examples are presented to illustrate the ability and simplify of the method and the results reveal the effectiveness of the technique. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：608 / 616

页数：9

共 18 条

[1]

[Anonymous], 1997, NUMERICAL ANAL SPECT

[2] Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration [J].

Babolian, E. ;

Fattahzadeh, F. .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) :1016-1022

[3] Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration [J].

Babolian, E. ;

Fattahzadeh, F. .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) :417-426

[4] On the decomposition method for system of linear equations and system of linear Volterra integral equations [J].

Babolian, E ;

Biazar, J ;

Vahidi, AR .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) :19-27

[5] He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind [J].

Biazar, J. ;

Ghazvini, H. .

CHAOS SOLITONS & FRACTALS, 2009, 39 (02) :770-777

[6] Solution of a system of Volterra integral equations of the first kind by Adomian method [J].

Biazar, J ;

Babolian, E ;

Islam, R .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 139 (2-3) :249-258

[7] Application of homotopy perturbation method for systems of Volterra integral equations of the first kind [J].

Biazar, J. ;

Eslami, M. ;

Aminikhah, H. .

CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :3020-3026

[8]

Biazar J., 2010, J ADV RES APPL MATH, V2, P39

[9]

Christensen O., 2004, APPROXIMATION THEORY

[10]

DAUBECHES I, 1992, 10 LECT WAVELETS

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