On approximate solution of Hammerstein integral equations in the space Lp (p ≥ 1)

Authors:
A. A. M. Abou El-Seoud;M. M. El-Kady;M. A. El-Ameen
Affiliations:
Faculty of Education, El Arish, Egypt;Faculty of Science, South Valley University, Aswan, Egypt and Department of Computer Science, Tabuk Teachers College, P.O. Box 1144, Tabuk, Saudi Arabia;Faculty of Science, El-Fauom, Egypt
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 1
Cited 1

A discrete collocation-type method for Hammerstein equations

SIAM Journal on Numerical Analysis

Fixed point method for solving nonlinear quadratic Volterra integral equations

Computers & Mathematics with Applications

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Abstract

This paper deals with an approximate method for solving Hammerstein integral equation. This method is based on the replacement of the kernel of the given equation by degenerate kernel and which it has a solution equivalent to the solution of a system of nonlinear algebraic equations. Suitable numerical technique can be used to obtain the results of that problem. At the end of this paper, numerical examples were presented.