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

[11] The solution of linear and nonlinear systems of Volterra functional equations using Adomian-Pade technique [J].

Dehghan, Mehdi ;

Shakourifar, Mohammad ;

Hamidi, Asgar .

CHAOS SOLITONS & FRACTALS, 2009, 39 (05) :2509-2521

[12]

Delves L. M., 1988, COMPUTATIONAL METHOD

[13] Solving a system of nonlinear integral equations by an RBF network [J].

Golbabai, A. ;

Mammadov, M. ;

Seifollahi, S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (10) :1651-1658

[14]

Jerri A., 1999, Introduction to integral equations with applications

[15] Block by block method for the systems of nonlinear Volterra integral equations [J].

Katani, R. ;

Shahmorad, S. .

APPLIED MATHEMATICAL MODELLING, 2010, 34 (02) :400-406

[16] Solving a nonlinear fractional differential equation using Chebyshev wavelets [J].

Li, Yuanlu .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (09) :2284-2292

[17]

Linz Peter., 1985, Analytical and Numerical Methods for Volterra Equation

[18] Using Runge-Kutta method for numerical solution of the system of Volterra integral equation [J].

Maleknejad, K ;

Shahrezaee, M .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (02) :399-410

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