An analytic study on the third-order dispersive partial differential equations

摘要

In this paper we propose a new approach for solving the third-order dispersive partial differential equations in one- and higher-dimensional spaces. Our approach depends mainly on Adomian decomposition method. The modified decomposition method and the noise terms phenomenon will be used for non-homogeneous problems. We demonstrate our work by testing numerical examples designed to capture the features of the proposed algorithms.