An Unconventional Finite Difference Scheme for Modified Korteweg-de Vries Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A numerical solution of the modified Korteweg-de Vries (MKdV) equation is presented by using a nonstandard finite difference (NSFD) scheme with theta method which includes the implicit Euler and a Crank-Nicolson type discretization.
Local truncation error of the NSFD scheme and linear stability analysis are discussed.
To test the accuracy and efficiency of the method, some numerical examples are given.
The numerical results of NSFD scheme are compared with the exact solution and a standard finite difference scheme.
The numerical results illustrate that the NSFD scheme is a robust numerical tool for the numerical integration of the MKdV equation.
American Psychological Association (APA)
Koroglu, Canan& Aydin, Ayhan. 2017. An Unconventional Finite Difference Scheme for Modified Korteweg-de Vries Equation. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123181
Modern Language Association (MLA)
Koroglu, Canan& Aydin, Ayhan. An Unconventional Finite Difference Scheme for Modified Korteweg-de Vries Equation. Advances in Mathematical Physics No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1123181
American Medical Association (AMA)
Koroglu, Canan& Aydin, Ayhan. An Unconventional Finite Difference Scheme for Modified Korteweg-de Vries Equation. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123181
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123181