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

APM > Vol.3 No.1, January 2013

Volume 3, Issue 1 (January 2013)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

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

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DOI: 10.4236/apm.2013.31A022 4,369 Downloads 9,365 Views Citations

Author(s)

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

Affiliation(s)

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

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

Share and Cite:

N. Al-Zaid, H. Bakodah and F. Hendi, "Numerical Solutions of the Regularized Long-Wave (RLW) Equation Using New Modification of Laplace-Decomposition Method," Advances in Pure Mathematics, Vol. 3 No. 1A, 2013, pp. 159-163. doi: 10.4236/apm.2013.31A022.

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