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- Publisher Website: 10.1016/j.apnum.2008.10.005
- Scopus: eid_2-s2.0-63549087831
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Article: An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain
| Title | An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain |
|---|---|
| Authors | |
| Keywords | Discrete Artificial Boundary Condition (DABC) Energy method Unbounded domain Artificial Boundary Condition (ABC) Fast algorithm |
| Issue Date | 2009 |
| Citation | Applied Numerical Mathematics, 2009, v. 59, n. 7, p. 1568-1583 How to Cite? |
| Abstract | The numerical solution of the one-dimensional Klein-Gordon equation on an unbounded domain is analyzed in this paper. Two artificial boundary conditions are obtained to reduce the original problem to an initial boundary value problem on a bounded computational domain, which is discretized by an explicit difference scheme. The stability and convergence of the scheme are analyzed by the energy method. A fast algorithm is obtained to reduce the computational cost and a discrete artificial boundary condition (DABC) is derived by the Z-transform approach. Finally, we illustrate the efficiency of the proposed method by several numerical examples. © 2008 IMACS. |
| Persistent Identifier | http://hdl.handle.net/10722/219841 |
| ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 1.006 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Han, Houde | - |
| dc.contributor.author | Zhang, Zhiwen | - |
| dc.date.accessioned | 2015-09-23T02:58:04Z | - |
| dc.date.available | 2015-09-23T02:58:04Z | - |
| dc.date.issued | 2009 | - |
| dc.identifier.citation | Applied Numerical Mathematics, 2009, v. 59, n. 7, p. 1568-1583 | - |
| dc.identifier.issn | 0168-9274 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/219841 | - |
| dc.description.abstract | The numerical solution of the one-dimensional Klein-Gordon equation on an unbounded domain is analyzed in this paper. Two artificial boundary conditions are obtained to reduce the original problem to an initial boundary value problem on a bounded computational domain, which is discretized by an explicit difference scheme. The stability and convergence of the scheme are analyzed by the energy method. A fast algorithm is obtained to reduce the computational cost and a discrete artificial boundary condition (DABC) is derived by the Z-transform approach. Finally, we illustrate the efficiency of the proposed method by several numerical examples. © 2008 IMACS. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Applied Numerical Mathematics | - |
| dc.subject | Discrete Artificial Boundary Condition (DABC) | - |
| dc.subject | Energy method | - |
| dc.subject | Unbounded domain | - |
| dc.subject | Artificial Boundary Condition (ABC) | - |
| dc.subject | Fast algorithm | - |
| dc.title | An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/j.apnum.2008.10.005 | - |
| dc.identifier.scopus | eid_2-s2.0-63549087831 | - |
| dc.identifier.volume | 59 | - |
| dc.identifier.issue | 7 | - |
| dc.identifier.spage | 1568 | - |
| dc.identifier.epage | 1583 | - |
| dc.identifier.isi | WOS:000265586700008 | - |
| dc.identifier.issnl | 0168-9274 | - |