Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation
Joint Authors
Meng, Qing-Jiang
Yin, Li-Ping
Ding, Xiaoquan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We present a discrete-time orthogonal spline collocation scheme for the one-dimensional sine-Gordon equation.
This scheme uses Hermite basis functions to approximate the solution throughout the spatial domain on each time level.
The convergence rate with order O(h4+τ2) in L2 norm and stability of the scheme are proved.
Numerical results are presented and compared with analytical solutions to confirm the accuracy of the presented scheme.
American Psychological Association (APA)
Ding, Xiaoquan& Meng, Qing-Jiang& Yin, Li-Ping. 2015. Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060412
Modern Language Association (MLA)
Ding, Xiaoquan…[et al.]. Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1060412
American Medical Association (AMA)
Ding, Xiaoquan& Meng, Qing-Jiang& Yin, Li-Ping. Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060412
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060412
