Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations

In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinea...

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Bibliographic Details
Main Authors: Parviz Darania, Jafar Ahmadi Shali
Format: Article
Language:English
Published: University of Maragheh 2015-06-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/pdf_12353_35fac8b4fc64368273a268e5b499aac7.html
Description
Summary:In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.
ISSN:2322-5807
2423-3900