Solution of 2D Volterra-Fredholm Integral Equations of First Kind by using Discretization Method

Abstract

This paper is devoted to present a simple but efficient numerical method for solving the 2D Volterra-Fredholm integral equation (VFIE). Both mixed and separate types of VFIEs are considered. The under consideration technique rely on approximating the unknown function with 2D Bernstein polynomials. The proposed technique has advantage in reducing the computational burden. To show the accuracy and convergence of this method, some results are also established. Finally the effectiveness of the technique is demonstrated by applying the technique on some numerical tests.