Approximate Method For Solving Mixed Volterra-Fredholm Integro-Differential Equation

Abstract

In this study, we introduce the Petrov-Galerkin Method (PGM) to obtain the approximate solution〖 u〗_m (x) for linear mixed Volterra-Fredholm integro-differential equations (LMVFIDEs) of the second kind via Normalization Bernstein Polynomials (NBPs). A comparison between the approximate solution and exact solution E(x) has been made depending on absolute error, and for showing efficiency and accuracy of this method, we use some numerical examples.