CONVERGENCE ANALYSIS OF PRODUCT INTEGRATION METHOD FOR NONLINEAR WEAKLY SINGULAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

In this paper, we studied the numerical solution of non- linear weakly singular Volterra-Fredholm integral equations by us- ing the product integration method. Also, we shall study the con-vergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and e ciency of the proposed scheme are demonstrated by some numerical experiments.