Operator Splitting of the Kdv-Burgers Type Equation With Fast and Slow Dynamics

dc.authorscopusid 56363624700
dc.authorscopusid 6603369633
dc.contributor.author Aydín,A.
dc.contributor.author Karasözen,B.
dc.date.accessioned 2024-07-05T15:43:27Z
dc.date.available 2024-07-05T15:43:27Z
dc.date.issued 2010
dc.department Atılım University en_US
dc.department-temp Aydín A., Department of Mathematics, Atilim University, 06836 Ankara, Turkey; Karasözen B., Department of Mathematics, Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkey en_US
dc.description Abant Izzet Baysal University (AIBU); Malaysian Mathematical Sciences Society (Persama); Sci. Technol. Res. Counc. Turkey (TUBITAK); Bolu Governorship and Municipality; Beypi Company en_US
dc.description.abstract The Korteweg de Vries-Burgers (KdV-Burgers) type equation arising from the discretization of the viscous Burgers equation with fast dispersion and slow diffusion is solved using operator splitting. The dispersive and diffusive parts are discretized in space by second order conservative finite differences. The resulting system of ordinary differential equations are composed using the time reversible Strang splitting. The numerical results reveal that the periodicity of the solutions and the invariants of the KdV-Burgers equation are well preserved. © 2010 American Institute of Physics. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.1063/1.3525178
dc.identifier.endpage 566 en_US
dc.identifier.isbn 978-073540863-0
dc.identifier.issn 1551-7616
dc.identifier.scopus 2-s2.0-79251536844
dc.identifier.startpage 562 en_US
dc.identifier.uri https://doi.org/10.1063/1.3525178
dc.identifier.uri https://hdl.handle.net/20.500.14411/3629
dc.identifier.volume 1309 en_US
dc.language.iso en en_US
dc.relation.ispartof AIP Conference Proceedings -- International Conference on Mathematical Science, ICMS -- 23 November 2010 through 27 November 2010 -- Bolu en_US
dc.relation.publicationcategory Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 0
dc.subject fast-slow systems en_US
dc.subject finite differences en_US
dc.subject splitting methods en_US
dc.title Operator Splitting of the Kdv-Burgers Type Equation With Fast and Slow Dynamics en_US
dc.type Conference Object en_US
dspace.entity.type Publication

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