A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation
Joint Authors
Yan, Yubin
Cai, Guorong
Liang, Zongqi
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-29
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
A standard Crank-Nicolson finite-difference scheme and a Dufort-Frankel finite-difference scheme are introduced to solve two-dimensional damped and undamped sine-Gordon equations.
The stability and convergence of the numerical methods are considered.
To avoid solving the nonlinear system, the predictor-corrector techniques are applied in the numerical methods.
Numerical examples are given to show that the numerical results are consistent with the theoretical results.
American Psychological Association (APA)
Liang, Zongqi& Yan, Yubin& Cai, Guorong. 2014. A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1035036
Modern Language Association (MLA)
Liang, Zongqi…[et al.]. A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-22.
https://search.emarefa.net/detail/BIM-1035036
American Medical Association (AMA)
Liang, Zongqi& Yan, Yubin& Cai, Guorong. A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1035036
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1035036
