Document Details

Document Type : Article In Journal 
Document Title :
Numerical solution of complex modified Korteweg-de Vries equation by Petrov-Galerkin method
Numerical solution of complex modified Korteweg-de Vries equation by Petrov-Galerkin method
 
Subject : Mthematics 
Document Language : English 
Abstract : In this paper, a Petrov-Galerkin method is used to derive a numerical scheme for the complex modified Korteweg-de Vries equation (CMKdV), where we have used cubic B-splines as test functions and linear B-splines as trial functions. An implicit midpoint rule is used to discretize in time. A block non-linear pentadiagonal system is obtained. We solve this system by Newton's method. The resulting scheme has a fourth order accuracy in space direction and second order in time direction. It is unconditionally stable by von Neumann method. The exact soliton solution and the conserved quantities are used to assess the accuracy and to show the robustness of the scheme. The interaction of two solitary waves for different parameters is discussed. © 2008 Elsevier Inc. All rights reserved. 
ISSN : 0096-3003 
Journal Name : Applied Mathematics and Computation, Volume 202, Issue 2, 15 August 2008, Pages 520-531 
Volume : 202 
Issue Number : 2 
Publishing Year : 2008 AH
2008 AD 
Number Of Pages : 12 
Article Type : Article 
Added Date : Thursday, October 15, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
محمدسعيد يوسف حموده اسماعيلIsmail, M.SResearcherDoctoratemsismail@kau.edu.sa

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