A modification of decomposition approach for solving non-linear quadratic differential equation; Theory and application

Abstract

In this study, we introduce a modified Adomian decomposition (MADM) for solving non-linear quadratic form. A solution for these types conducted via a classical Adomian decomposition approach (ADM) award perfect analytic solution just on neighborhood to initially place. A main feature for the proposed technique, it give us the ability to increase area of convergent approximation solution. A solution conducted via MADM award nice approximate results to wider and bigger intervals, as well as previously initially place. Selected examples confirm the proposed technique is simply, more an accurate and effectiveness.