Title of article
On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations
Author/Authors
Kazemi ، Manochehr Department of Mathematics - Islamic Azad University, Ashtian Branch , Doostdar ، Mohammad Reza Department of mathematics - Islamic Azad University, Zarandieh Branch
From page
1059
To page
1074
Abstract
In this work, solving non-linear two-dimensional Hammerstein integral equations is considered by an iterative method of successive approximation. This method is an efficient approach based on a combination of the quadrature formula and the successive approximations method. Also, the convergence analysis and the numerical stability of the suggested method are studied. Finally, to survey the accuracy of the present method, some numerical experiments are given.
Keywords
fixed point theorem , Hammerstein integral equations , Quadrature formula , Iterative method
Journal title
Computational Methods for Differential Equations
Journal title
Computational Methods for Differential Equations
Record number
2729496
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