Effect of Aboodh Adomian Method for the Solution of Non-Linear Integro Differential and Volterra Integeral Equations Based on Newton Raphson Method

Abstract

In this paper, we set up an altered Aboodh transform Adomian break up technique to solve non-linear Volterra integral and integro-differential equations. This scheme separate it from initial Aboodh Adomian splitting method because it involves the terms of Adomian polynomials. we applied Newton-Raphson method instead of ui (variable) in Adomian polynomials. The assigned scheme is explored with few explained examples that gave feasible solutions.