An Improved Approximate Solutions to Nonlinear PDEs Using The ADM and DTM

Nazek Ahmad Obeidat, Mahmoud Saleh Rawashdeh, Marwan Alquran

Abstract

In this paper, we apply the Differential Transform Method (DTM) and
the Adomian Decomposition Method (ADM) to three different types of
nonlinear partial differential equations (PDEs) such as, General
Equal Width Wave Equation (GEWE), General Regularized Long Wave
Equation (GRLW), and Two-component KdV Evolutionary System of order
two.
The study outlines the significant features of the two methods. The
results show that these methods are very efficient, convenient and
can be applied to a large class of problems.