Academic Journal
A new conservative finite difference scheme for an initial-boundary value problem of a nonlinear Klein-Gordon equation
| Τίτλος: | A new conservative finite difference scheme for an initial-boundary value problem of a nonlinear Klein-Gordon equation |
|---|---|
| Συγγραφείς: | Zhang, Luming, Chang, Qianshun |
| Στοιχεία εκδότη: | Chinese Academy of Sciences, Institute of Applied Mathematics, Beijing |
| Θεματικοί όροι: | energy conservation, long time solutions, numerical examples, convergence, Finite difference methods for initial value and initial-boundary value problems involving PDEs, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, finite difference scheme, PDEs in connection with quantum mechanics, nonlinear Klein-Gordon equation |
| Περιγραφή: | Summary: A new finite difference scheme is proposed for solving an initial-boundary value problem for a nonlinear Klein-Gordon equation. The scheme has the advantage of conserving discrete energy, just as the initial-boundary value problem conserves energy. Its convergence and stability are proved. Because of the fact that the numerical scheme is fully implicit, it has a particularly important function when long time solutions are sought. The result of numerical computation shows that the new scheme is very accurate and fast. |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/xml |
| Σύνδεσμος πρόσβασης: | https://zbmath.org/1559162 |
| Αριθμός Καταχώρησης: | edsair.c2b0b933574d..c980366a2bd29aabac0d5c83b17c76c5 |
| Βάση Δεδομένων: | OpenAIRE |
| FullText | Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A new conservative finite difference scheme for an initial-boundary value problem of a nonlinear Klein-Gordon equation – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Luming%22">Zhang, Luming</searchLink><br /><searchLink fieldCode="AR" term="%22Chang%2C+Qianshun%22">Chang, Qianshun</searchLink> – Name: Publisher Label: Publisher Information Group: PubInfo Data: Chinese Academy of Sciences, Institute of Applied Mathematics, Beijing – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22energy+conservation%22">energy conservation</searchLink><br /><searchLink fieldCode="DE" term="%22long+time+solutions%22">long time solutions</searchLink><br /><searchLink fieldCode="DE" term="%22numerical+examples%22">numerical examples</searchLink><br /><searchLink fieldCode="DE" term="%22convergence%22">convergence</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+difference+methods+for+initial+value+and+initial-boundary+value+problems+involving+PDEs%22">Finite difference methods for initial value and initial-boundary value problems involving PDEs</searchLink><br /><searchLink fieldCode="DE" term="%22stability%22">stability</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+and+convergence+of+numerical+methods+for+initial+value+and+initial-boundary+value+problems+involving+PDEs%22">Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs</searchLink><br /><searchLink fieldCode="DE" term="%22finite+difference+scheme%22">finite difference scheme</searchLink><br /><searchLink fieldCode="DE" term="%22PDEs+in+connection+with+quantum+mechanics%22">PDEs in connection with quantum mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22nonlinear+Klein-Gordon+equation%22">nonlinear Klein-Gordon equation</searchLink> – Name: Abstract Label: Description Group: Ab Data: Summary: A new finite difference scheme is proposed for solving an initial-boundary value problem for a nonlinear Klein-Gordon equation. The scheme has the advantage of conserving discrete energy, just as the initial-boundary value problem conserves energy. Its convergence and stability are proved. Because of the fact that the numerical scheme is fully implicit, it has a particularly important function when long time solutions are sought. The result of numerical computation shows that the new scheme is very accurate and fast. – Name: TypeDocument Label: Document Type Group: TypDoc Data: Article – Name: Format Label: File Description Group: SrcInfo Data: application/xml – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="https://zbmath.org/1559162" linkWindow="_blank">https://zbmath.org/1559162</link> – Name: AN Label: Accession Number Group: ID Data: edsair.c2b0b933574d..c980366a2bd29aabac0d5c83b17c76c5 |
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| RecordInfo | BibRecord: BibEntity: Languages: – Text: Undetermined Subjects: – SubjectFull: energy conservation Type: general – SubjectFull: long time solutions Type: general – SubjectFull: numerical examples Type: general – SubjectFull: convergence Type: general – SubjectFull: Finite difference methods for initial value and initial-boundary value problems involving PDEs Type: general – SubjectFull: stability Type: general – SubjectFull: Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs Type: general – SubjectFull: finite difference scheme Type: general – SubjectFull: PDEs in connection with quantum mechanics Type: general – SubjectFull: nonlinear Klein-Gordon equation Type: general Titles: – TitleFull: A new conservative finite difference scheme for an initial-boundary value problem of a nonlinear Klein-Gordon equation Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhang, Luming – PersonEntity: Name: NameFull: Chang, Qianshun IsPartOfRelationships: – BibEntity: Identifiers: – Type: issn-locals Value: edsair |
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