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Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations
Journal: Sahand Communications in Mathematical Analysis (Vol.2, No. 1)Publication Date: 2015-06-25
Authors : Parviz Darania; Jafar Ahmadi Shali;
Page : 57-69
Keywords : Volterra-Fredholm integral equations; Product integration method; Convergence analysis;
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Abstract
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.
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Last modified: 2015-08-17 13:34:18