@article { author = {Darania, Parviz and Ahmadi Shali, Jafar}, title = {Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations}, journal = {Sahand Communications in Mathematical Analysis}, volume = {02}, number = {1}, pages = {57-69}, year = {2015}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {}, 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.}, keywords = {Volterra-Fredholm integral equations,Product integration method,Convergence analysis}, url = {https://scma.maragheh.ac.ir/article_12353.html}, eprint = {https://scma.maragheh.ac.ir/article_12353_35fac8b4fc64368273a268e5b499aac7.pdf} }