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

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