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- Publisher Website: 10.4208/cicp.050610.021210a
- Scopus: eid_2-s2.0-80051761980
- WOS: WOS:000298764200004
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Article: Split local artificial boundary conditions for the two-dimensional sine-gordon equation on R2
Title | Split local artificial boundary conditions for the two-dimensional sine-gordon equation on R2 |
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Authors | |
Keywords | Sine-Gordon equation Unbounded domain Soliton Operator splitting method Artificial boundary condition |
Issue Date | 2011 |
Citation | Communications in Computational Physics, 2011, v. 10, n. 5, p. 1161-1183 How to Cite? |
Abstract | In this paper the numerical solution of the two-dimensional sine-Gordon equation is studied. Split local artificial boundary conditions are obtained by the operator splitting method. Then the original problem is reduced to an initial boundary value problem on a bounded computational domain, which can be solved by the finite differencemethod. Several numerical examples are provided to demonstrate the effectiveness and accuracy of the proposed method, and some interesting propagation and collision behaviors of the solitary wave solutions are observed. © 2011 Global-Science Press. |
Persistent Identifier | http://hdl.handle.net/10722/219653 |
ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 1.176 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Han, Houde | - |
dc.contributor.author | Zhang, Zhiwen | - |
dc.date.accessioned | 2015-09-23T02:57:38Z | - |
dc.date.available | 2015-09-23T02:57:38Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Communications in Computational Physics, 2011, v. 10, n. 5, p. 1161-1183 | - |
dc.identifier.issn | 1815-2406 | - |
dc.identifier.uri | http://hdl.handle.net/10722/219653 | - |
dc.description.abstract | In this paper the numerical solution of the two-dimensional sine-Gordon equation is studied. Split local artificial boundary conditions are obtained by the operator splitting method. Then the original problem is reduced to an initial boundary value problem on a bounded computational domain, which can be solved by the finite differencemethod. Several numerical examples are provided to demonstrate the effectiveness and accuracy of the proposed method, and some interesting propagation and collision behaviors of the solitary wave solutions are observed. © 2011 Global-Science Press. | - |
dc.language | eng | - |
dc.relation.ispartof | Communications in Computational Physics | - |
dc.subject | Sine-Gordon equation | - |
dc.subject | Unbounded domain | - |
dc.subject | Soliton | - |
dc.subject | Operator splitting method | - |
dc.subject | Artificial boundary condition | - |
dc.title | Split local artificial boundary conditions for the two-dimensional sine-gordon equation on R2 | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.4208/cicp.050610.021210a | - |
dc.identifier.scopus | eid_2-s2.0-80051761980 | - |
dc.identifier.volume | 10 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | 1161 | - |
dc.identifier.epage | 1183 | - |
dc.identifier.eissn | 1991-7120 | - |
dc.identifier.isi | WOS:000298764200004 | - |
dc.identifier.issnl | 1815-2406 | - |