14-12-2025
جامعة الملك عبدالعزيز
KING ABDULAZIZ UNIVERSITY
Faculty of Sciences
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 Type
Dr Grade
Email
محمدسعيد يوسف حموده اسماعيل
Ismail, M.S
Researcher
Doctorate
msismail@kau.edu.sa
Files
File Name
Type
Description
23434.pdf
pdf
Abstract
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