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Numerical wave solutions for nonlinear coupled equations using sinc-collocation
Other Title(s)
حلول الموجة العددية لمعادلات الدوال غير الخطية باستخدام طريقة سينك-التجميعية
Author
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 20, Issue 2 (s) (31 Dec. 2015), pp.19-30, 12 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2015-12-31
Country of Publication
Oman
No. of Pages
12
Main Subjects
Abstract EN
In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method.
This approach is based on a global collocation method using Sinc basis functions.
The first step is to discretize time derivative of the KdV equations by a classic finite difference formula, while the space derivatives are approximated by a weighted scheme.
Sinc functions are used to solve these two equations.
Soliton solutions are constructed to show the nature of the solution.
The numerical results are shown to demonstrate the efficiency of the newly proposed method.
American Psychological Association (APA)
al-Khalid, Kamil. 2015. Numerical wave solutions for nonlinear coupled equations using sinc-collocation. Sultan Qaboos University Journal for Science،Vol. 20, no. 2 (s), pp.19-30.
https://search.emarefa.net/detail/BIM-650888
Modern Language Association (MLA)
al-Khalid, Kamil. Numerical wave solutions for nonlinear coupled equations using sinc-collocation. Sultan Qaboos University Journal for Science Vol. 20, no. 2 (Special issue) (Dec. 2015), pp.19-30.
https://search.emarefa.net/detail/BIM-650888
American Medical Association (AMA)
al-Khalid, Kamil. Numerical wave solutions for nonlinear coupled equations using sinc-collocation. Sultan Qaboos University Journal for Science. 2015. Vol. 20, no. 2 (s), pp.19-30.
https://search.emarefa.net/detail/BIM-650888
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 30
Record ID
BIM-650888