Numerical Solutions of the Regularized Long-Wave (RLW) Equation Using New Modification of Laplace-Decomposition Method

Nawal A. Al-Zaid, Huda O. Bakodah, Fathiah A. Hendi

Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA.

DOI: 10.4236/apm.2013.31A022                

Abstract

In this paper the new modification of Laplace Adomian decomposition method (ADM) to obtain numerical solution of the regularized long-wave (RLW) equation is presented. The performance of the method is illustrated by solving two test examples of the problem. To see the accuracy of the method, L₂ and L_∞ error norms are calculated.

Keywords

Adomian Decomposition Method; Regularized Long-Wave (RLW); Laplace Transform

Conflicts of Interest

The authors declare no conflicts of interest.

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