A modification for solving Fredholm‐Hammerstein integral equation by using wavelet basis
Abstract
Purpose
The purpose of this paper is to use Alpert wavelet basis and modify the integrand function approximation coefficients to solve Fredholm‐Hammerstein integral equations.
Design/methodology/approach
L2[0, 1] was considered as solution space and the solution was projected to the subspaces of L2[0, 1] with finite dimension so that basis elements of these subspaces were orthonormal.
Findings
In this process, solution of Fredholm‐Hammerstein integral equation is found by solving the generated system of nonlinear equations.
Originality/value
Comparing the method with others shows that this system has less computation. In fact, decreasing of computations result from the modification.
Keywords
Citation
Rabbani, M. and Maleknejad, K. (2009), "A modification for solving Fredholm‐Hammerstein integral equation by using wavelet basis", Kybernetes, Vol. 38 No. 3/4, pp. 615-620. https://doi.org/10.1108/03684920910944830
Publisher
:Emerald Group Publishing Limited
Copyright © 2009, Emerald Group Publishing Limited