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Meshless Singular Boundary Method for Nonlinear Sine-Gordon Equation
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A meshless method based on the singular boundary method is developed for the numerical solution of the time-dependent nonlinear sine-Gordon equation with Neumann boundary condition.
In this method, by using a time discrete scheme to approximate the time derivatives, the time-dependent nonlinear problem is transformed into a sequence of time-independent linear boundary value problems.
Then, the singular boundary method is used to establish the system of discrete algebraic equations.
The present method is meshless, integration-free, and easy to implement.
Numerical examples involving line and ring solitons are given to show the performance and efficiency of the proposed method.
The numerical results are found to be in good agreement with the analytical solutions and the numerical results that exist in literature.
American Psychological Association (APA)
Ji, Yun. 2018. Meshless Singular Boundary Method for Nonlinear Sine-Gordon Equation. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1208408
Modern Language Association (MLA)
Ji, Yun. Meshless Singular Boundary Method for Nonlinear Sine-Gordon Equation. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1208408
American Medical Association (AMA)
Ji, Yun. Meshless Singular Boundary Method for Nonlinear Sine-Gordon Equation. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1208408
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208408