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Numerical Solution of Nonlinear Sine-Gordon Equation by Modified Cubic B-Spline Collocation Method
Joint Authors
Source
International Journal of Partial Differential Equations
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Modified cubic B-spline collocation method is discussed for the numerical solution of one-dimensional nonlinear sine-Gordon equation.
The method is based on collocation of modified cubic B-splines over finite elements, so we have continuity of the dependent variable and its first two derivatives throughout the solution range.
The given equation is decomposed into a system of equations and modified cubic B-spline basis functions have been used for spatial variable and its derivatives, which gives results in amenable system of ordinary differential equations.
The resulting system of equation has subsequently been solved by SSP-RK54 scheme.
The efficacy of the proposed approach has been confirmed with numerical experiments, which shows that the results obtained are acceptable and are in good agreement with earlier studies.
American Psychological Association (APA)
Mittal, R. C.& Bhatia, Rachna. 2014. Numerical Solution of Nonlinear Sine-Gordon Equation by Modified Cubic B-Spline Collocation Method. International Journal of Partial Differential Equations،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-464401
Modern Language Association (MLA)
Mittal, R. C.& Bhatia, Rachna. Numerical Solution of Nonlinear Sine-Gordon Equation by Modified Cubic B-Spline Collocation Method. International Journal of Partial Differential Equations No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-464401
American Medical Association (AMA)
Mittal, R. C.& Bhatia, Rachna. Numerical Solution of Nonlinear Sine-Gordon Equation by Modified Cubic B-Spline Collocation Method. International Journal of Partial Differential Equations. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-464401
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464401