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

Author: A. A. Soliman a
Affiliation:   a Department of Mathematics, Faculty of Education (AL-Arish), Suez Canal University, AL-Arish, Egypt
DOI: 10.1080/00207160410001660817
Publication Frequency: 15 issues per year
Published in: journal International Journal of Computer Mathematics, Volume 81, Issue 3 March 2004 , pages 325 - 331
Number of References: 10
Formats available: PDF (English)
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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.
Keywords: KdV equation; Septic spline; Collocation solution
view references (10) : view citations
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