Darania, P., Ahmadi Shali, J. (2015). Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations. Sahand Communications in Mathematical Analysis, 02(1), 57-69.

Parviz Darania; Jafar Ahmadi Shali. "Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations". Sahand Communications in Mathematical Analysis, 02, 1, 2015, 57-69.

Darania, P., Ahmadi Shali, J. (2015). 'Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations', Sahand Communications in Mathematical Analysis, 02(1), pp. 57-69.

Darania, P., Ahmadi Shali, J. Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations. Sahand Communications in Mathematical Analysis, 2015; 02(1): 57-69.

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

^{1}Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 165, Urmia-Iran

^{2}Department of Mathematics and Computer Science, University of Tabriz, Tabriz-Iran

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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