EFFECT OF ABOODH ADOMIAN METHOD FOR THE SOLUTION OF NON-LINEAR INTEGRO DIFFERENTIAL AND VOLTERRA INTEGERAL EQUATIONS BASED ON NEWTONRAPHSON METHOD

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