155
Views
32
CrossRef citations to date
0
Altmetric
Original Articles

Collocation solution of the Korteweg–de Vries equation using septic splines

Pages 325-331 | Received 23 Sep 2003, Published online: 12 May 2010
 

Abstract

Numerical solutions for the Korteweg–de Vries equation based on the collocation method using septic splines as element shape functions are set up. A linear stability analysis of the scheme shows the method to be unconditionally stable. A test problem concerning the development and motion of solitons is used to validate the method. The numerical scheme is compared with other published methods and shown to be accurate and efficient.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.