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

dc.authorscopusid56363624700
dc.authorscopusid6603369633
dc.contributor.authorAydín,A.
dc.contributor.authorKarasözen,B.
dc.date.accessioned2024-07-05T15:43:27Z
dc.date.available2024-07-05T15:43:27Z
dc.date.issued2010
dc.departmentAtılım Universityen_US
dc.department-tempAydín A., Department of Mathematics, Atilim University, 06836 Ankara, Turkey; Karasözen B., Department of Mathematics, Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkeyen_US
dc.descriptionAbant Izzet Baysal University (AIBU); Malaysian Mathematical Sciences Society (Persama); Sci. Technol. Res. Counc. Turkey (TUBITAK); Bolu Governorship and Municipality; Beypi Companyen_US
dc.description.abstractThe 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.citationcount0
dc.identifier.doi10.1063/1.3525178
dc.identifier.endpage566en_US
dc.identifier.isbn978-073540863-0
dc.identifier.issn1551-7616
dc.identifier.scopus2-s2.0-79251536844
dc.identifier.startpage562en_US
dc.identifier.urihttps://doi.org/10.1063/1.3525178
dc.identifier.urihttps://hdl.handle.net/20.500.14411/3629
dc.identifier.volume1309en_US
dc.language.isoenen_US
dc.relation.ispartofAIP Conference Proceedings -- International Conference on Mathematical Science, ICMS -- 23 November 2010 through 27 November 2010 -- Boluen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.scopus.citedbyCount0
dc.subjectfast-slow systemsen_US
dc.subjectfinite differencesen_US
dc.subjectsplitting methodsen_US
dc.titleOperator Splitting of the Kdv-Burgers Type Equation With Fast and Slow Dynamicsen_US
dc.typeConference Objecten_US
dspace.entity.typePublication

Files

Collections