Discretization method for the numerical solution of 2D Volterra integral equation based on two-dimensional Bernstein polynomial.

This paper develops a numerical technique for the solution of 2D Volterra Integral Equations (2DVIEs). The proposed method is based on the discretization of 2DVIEs by using two-dimensional Bernstein's approximation. Some results are developed regarding convergence analysis which shows that the given technique converges to the exact solution rapidly. Several examples are also presented to demonstrate the efficiency and accuracy of the proposed method. [ABSTRACT FROM AUTHOR]