A comparative study between two different methods for solving the general Korteweg–de Vries equation (GKdV)

M.A. Helal and M.S. Mehanna

Chaos, Solitons & Fractals, 2007, vol. 33, issue 3, 725-739

Abstract: The family of the KdV equations, the most famous equations embodying both nonlinearity and dispersion, has attracted enormous attention over the years and has served as the model equation for the development of soliton theory. In this paper we present a comparative study between two different methods for solving the general KdV equation, namely the numerical Crank Nicolson method, and the semi-analytic Adomian decomposition method. The stability of the numerical Crank Nicolson scheme is discussed. A comparison between the two methods is carried out to illustrate the pertinent features of the two algorithms.

Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077906010435
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:3:p:725-739

DOI: 10.1016/j.chaos.2006.11.011

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().