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On the numerical solution of diffusion problem with singular source terms

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dc.contributor.authorTurk, Irfan
dc.contributor.authorAshyraliyev, Maksat
dc.contributor.institutionTurk, Irfan, Department of Mathematics, Fatih Üniversitesi, Istanbul, Turkey
dc.contributor.institutionAshyraliyev, Maksat, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.date.accessioned2025-10-05T16:41:41Z
dc.date.issued2012
dc.description.abstractA numerical study is presented for the diffusion problem having singular source terms. The singular source terms are defined by a Dirac delta function. The standard finite volume approach is applied for spatial discretization. Numerical example is included. © 2012 American Institute of Physics. © 2013 Elsevier B.V., All rights reserved.
dc.description.sponsorshipThe Scientific and Technological Research Council of Turkey
dc.description.sponsorshipGumushane University
dc.description.sponsorshipFatih University
dc.identifier.conferenceName1st International Conference on Analysis and Applied Mathematics, ICAAM 2012
dc.identifier.conferencePlaceGumushane
dc.identifier.doi10.1063/1.4747668
dc.identifier.endpage178
dc.identifier.issn0094243X
dc.identifier.issn15517616
dc.identifier.scopus2-s2.0-84873246766
dc.identifier.startpage176
dc.identifier.urihttps://doi.org/10.1063/1.4747668
dc.identifier.urihttps://hdl.handle.net/20.500.14719/13316
dc.identifier.volume1470
dc.language.isoen
dc.relation.sourceAIP Conference Proceedings
dc.subject.authorkeywordsDiffusion Equation
dc.subject.authorkeywordsFinite Volume Method
dc.subject.authorkeywordsSingular Source Terms
dc.titleOn the numerical solution of diffusion problem with singular source terms
dc.typeConference Paper
dcterms.referencesForecasting and Development of Gas Reservoirs, (1984), Underground Hydrodynamics, (1993), Bedrikovetskii, P. G., Two-phase displacement of compressible fluids from stratified reservoirs, Fluid Dynamics, 28, 2, pp. 214-222, (1993), Annamukhamedov, B., Mutual gas displacement from a porous medium under chemical reactions conditions, Journal of Engineering Physics, 58, 4, pp. 475-483, (1990), Santos, J., A converging finite volume scheme for hyperbolic conservation laws with source terms, Journal of Computational and Applied Mathematics, 111, 1-2, pp. 239-251, (1999), Tornberg, Anna Karin, Numerical approximations of singular source terms in differential equations, Journal of Computational Physics, 200, 2, pp. 462-488, (2004), Ashyraliyev, Maksat, On the numerical solution of diffusion-reaction equations with singular source terms, Journal of Computational and Applied Mathematics, 216, 1, pp. 20-38, (2008), Springer Series in Computational Mathematics, (2003)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id55576881400
person.identifier.scopus-author-id23987071800

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