An Iterative Approach to Solve Volterra Nonlinear Integral Equations

In this study, we provide the Aboodh decomposition method, a novel analytical technique. The fundamental definitions and theorems of suggested approach are provided analyzed. This new method is mixture transform Adomian method. used to solve nonlinear integro-differential equations (IDEs), solutions given as quickly expanding series terms. We compute maximum absolute error some figures compare resulting approximative with exact ones in order demonstrate method’s applicability efficiency.