New approach for numerical solution of Hammerstein integral equations

被引：32
作者：
Rashidinia, J. [1 ]
Zarebnia, M. [1 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 16844, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 185卷 / 01期
关键词：
nonlinear integral equations; Hammerstein equations; Sinc functions;
D O I：
10.1016/j.amc.2006.07.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use a numerical procedure for solving a class of nonlinear integral equations of the Hammerstein-type, using the globally defined Sine basis functions. Properties of the Sinc procedure are utilized to reduce the computation of the Hammerstein equations to some algebraic equations. We used some numerical examples to illustrate the accuracy and the implementation of the method. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：147 / 154
页数：8
相关论文
共 18 条
[11]   A FULLY-GALERKIN METHOD FOR THE NUMERICAL-SOLUTION OF AN INVERSE PROBLEM IN A PARABOLIC PARTIAL-DIFFERENTIAL EQUATION [J].
LUND, J ;
VOGEL, CR .
INVERSE PROBLEMS, 1990, 6 (02) :205-217
[12]  
Lund J., 1992, SINC METHODS QUADRAT
[13]   A SINC-COLLOCATION METHOD FOR THE COMPUTATION OF THE EIGENVALUES OF THE RADIAL SCHRODINGER-EQUATION [J].
LUND, JR ;
RILEY, BV .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1984, 4 (01) :83-98
[14]   Using the Petrov-Galerkin elements for solving Hammerstein integral equations [J].
Maleknejad, K ;
Karami, M ;
Rabbani, A .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (02) :831-845
[15]   Numerical solution of linear integral equations by using Sinc-collocation method [J].
Rashidinia, J ;
Zarebnia, M .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) :806-822
[16]   SINC-GALERKIN ESTIMATION OF DIFFUSIVITY IN PARABOLIC PROBLEMS [J].
SMITH, RC ;
BOWERS, KL .
INVERSE PROBLEMS, 1993, 9 (01) :113-135
[17]  
Stenger F., 1993, NUMERICAL METHODS BA
[18]  
Wang XB, 1998, J COMPUT MATH, V16, P499
12