TY - JOUR ID - 12353 TI - Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Darania, Parviz AU - Ahmadi Shali, Jafar AD - Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 165, Urmia-Iran AD - Department of Mathematics and Computer Science, University of Tabriz, Tabriz-Iran Y1 - 2015 PY - 2015 VL - 02 IS - 1 SP - 57 EP - 69 KW - Volterra-Fredholm integral equations KW - Product integration method KW - Convergence analysis DO - N2 - 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. UR - https://scma.maragheh.ac.ir/article_12353.html L1 - https://scma.maragheh.ac.ir/article_12353_35fac8b4fc64368273a268e5b499aac7.pdf ER -