14-12-2025
جامعة الملك عبدالعزيز
KING ABDULAZIZ UNIVERSITY
Faculty of Sciences
Document Details
Document Type
:
Article In Journal
Document Title
:
Numerical solution of a coupled korteweg-de vries equations by collocation method
Numerical solution of a coupled korteweg-de vries equations by collocation method
Subject
:
Mthematics
Document Language
:
English
Abstract
:
A numerical method for solving the coupled Korteweg-de Vries (CKdV) equation based on the collocation method with quintic B-spline finite elements is set up to simulate the solution of CKdV equation. Invariants and error norms are studied wherever possible to determine the conservation properties of the algorithm. Simulation of single soliton, interaction of two solitons, and birth of solitons are presented. A linear stability analysis shows the scheme to be unconditionally stable. © 2008 Wiley Periodicals, Inc.
ISSN
:
0749-159X
Journal Name
:
Numerical Methods for Partial Differential Equations
Volume
:
25
Issue Number
:
2
Publishing Year
:
2009 AH
2009 AD
Number Of Pages
:
26
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
23433.pdf
pdf
Abstract
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