Fast Iterative Methods for Solving of Boundary Nonlinear Integral Equations with Singularity

Authors: Fadrani D.R.V.; Maleknejad K.

Source: Journal of Computational Analysis and Applications, Volume 01, Number 2, April 1999 , pp. 219-234(16)

Publisher: Springer

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Abstract:

A very efficient and fully discrete method for numerical solution of boundary nonlinear integral equation is described. There seems a lack of rigorous numerical analysis because of singular or hypersingular behavior. In this paper, we suggest variants of methods for solving numerical solutions. Moreover, our aim has been to show how the iterations can be effectively and efficiently regularized for solving ill-posed problems by using the preconditioner. We have compared these methods with CPU time and iterations. Finally, some numerical examples show the efficiency of the proposed methods.

Keywords: Nonlinear integral equation; nonlinear generalized conjugate gradient methods; Newton methods; hybrid GMRES-like

Language: English

Document Type: Research article

Affiliations: 1: Department of Mathematics, Iran University of Science and Technology, Tehran 14155-6116, Iran

Publication date: 1999-04-01