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

Authors

  • Jafar Ahmadi Shali Department of Mathematics and Computer Science, University of Tabriz, Tabriz-Iran
  • Parviz Darania Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 165, Urmia-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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Journal title

volume 02  issue 1

pages  57- 69

publication date 2015-06-01

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