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Efficiency of High-Order Accurate Difference Schemes for the Korteweg-de Vries Equation
Joint Authors
Wongsaijai, Ben
Disyadej, Thongchai
Poochinapan, Kanyuta
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Two numerical models to obtain the solution of the KdV equation are proposed.
Numerical tools, compact fourth-order and standard fourth-order finite difference techniques, are applied to the KdV equation.
The fundamental conservative properties of the equation are preserved by the finite difference methods.
Linear stability analysis of two methods is presented by the Von Neumann analysis.
The new methods give second- and fourth-order accuracy in time and space, respectively.
The numerical experiments show that the proposed methods improve the accuracy of the solution significantly.
American Psychological Association (APA)
Poochinapan, Kanyuta& Wongsaijai, Ben& Disyadej, Thongchai. 2014. Efficiency of High-Order Accurate Difference Schemes for the Korteweg-de Vries Equation. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1046514
Modern Language Association (MLA)
Poochinapan, Kanyuta…[et al.]. Efficiency of High-Order Accurate Difference Schemes for the Korteweg-de Vries Equation. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1046514
American Medical Association (AMA)
Poochinapan, Kanyuta& Wongsaijai, Ben& Disyadej, Thongchai. Efficiency of High-Order Accurate Difference Schemes for the Korteweg-de Vries Equation. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1046514
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046514