Hybrid method for solving nonlinear Volterra-Fredholm integro differential equations

Abstract

The modified Laplace Adomian decomposition method (LADM) has been developed to find the analytic approximation solution of the nonlinear Volterra-Fredholm integro differential equations under the initial or boundary conditions. We prove the convergence of LADM applied to the Volterra-Fredholm integro differential equations. In this paper, some examples will be examined to support the proposed analysis.