Adomian decomposition method applied to nonlinear integral equations

Abstract EN

-Our main objective in this paper is to study the accuracy, applicability and simplicity of Adomian method applied to non linear integral equations.

In this work, we introduced a result obtained by the linearization method applied on a selected non-linear integral equation.

Then, we compared this result against a result, we obtained by the Adomian decomposition method.

This comparison study, showed the applicability and the accuracy of Adomian decomposition method comparing with the linearization method, even when the accuracy of linearization method improved by employing variable steps.

This study showed also, that the simplicity and the speed of the convergent of Adomian decomposition method is depended on the initial choice of 0 y .