Solving two-dimensional Volterra-Fredholm integral equations of the second kind by using Bernstein polynomials

摘要

In this paper, we present a numerical method for solving two-dimensional VolterraFredholm integral equations of the second kind(2DV-FK2). Our method is based on approximating unknown function with Bernstein polynomials. We obtain an error bound for this method and employ the method on some numerical tests to show the efficiency of the method.