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

Authors:
Abdul-Majid Wazwaz
Affiliations:
Department of Mathematics and Computer Science, Saint Xavier University, 3700 West 103rd Street, Chicago, IL
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

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.