The Method of Lines and Adomian Decomposition for Obtaining Solitary Wave Solutions of the KdV Equation

Mohamed M. Mousa, Mohamed Reda

Abstract


The method of lines (MOL) and Adomian decomposition method (ADM) are presented for obtaining solitary wave solutions of the korteweg-de Varies equation (KdV). The numerical results of the MOL are compared with the analytical results of the ADM. The method of lines gives accurate results over the Adomian method. In order to show the reliability of the considered methods we have compared the obtained solutions with the exact ones. The results reveal that the method of lines is more effective and convenient than the Adomian decomposition method for solving such type of partial differential equations.


Full Text: PDF DOI: 10.5539/apr.v5n3p43

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Applied Physics Research   ISSN 1916-9639 (Print)   ISSN 1916-9647 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.

doaj_logo_new_120 images_120. proquest_logo_120 lockss_logo_2_120 udl_120.