Comparison Differential Transformation Technique with Adomian Decomposition Method for Dispersive Long-wave Equations in (2+1)-Dimensions

Authors

M. A. Mohamed, Suez Canal University

Abstract

In this paper, we will introduce two methods to obtain the numerical solutions for the system of dispersive long-wave equations (DLWE) in (2+1)-dimensions. The first method is the differential transformation method (DTM) and the second method is Adomian decomposition method (ADM). Moreover, we will make comparison between the solutions obtained by the two methods. Consequently, the results of our system tell us the two methods can be alternative ways for solution of the linear and nonlinear higher-order initial value problems.

Recommended Citation

Mohamed, M. A. (2010). Comparison Differential Transformation Technique with Adomian Decomposition Method for Dispersive Long-wave Equations in (2+1)-Dimensions, Applications and Applied Mathematics: An International Journal (AAM), Vol. 5, Iss. 1, Article 12.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss1/12