Document Details

Document Type : Article In Journal 
Document Title :
Numerical solution of complex modified Korteweg-de Vries equation by collocation method
Numerical solution of complex modified Korteweg-de Vries equation by collocation method
 
Subject : Mthematics 
Document Language : English 
Abstract : The collocation method using quintic B-spline is derived for solving the complex modified Korteweg-de Vries (CMKdV). The method is based on Crank-Nicolson formulation for time integration and quintic B-spline functions for space integration. The von Neumann stability is used to prove that the scheme is unconditionally stable. Newton's method is used to solve the nonlinear block pentadiagonal system obtained. Numerical tests for single, two, and three solitons are used to assess the performance of the proposed scheme. © 2007 Elsevier B.V. All rights reserved. 
ISSN : 1007-5704 
Journal Name : Communications in Nonlinear Science and Numerical Simulation 
Volume : 14 
Issue Number : 3 
Publishing Year : 2009 AH
2009 AD 
Number Of Pages : 10 
Article Type : Article 
Added Date : Wednesday, October 14, 2009 

Researchers

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

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