Partial Range Completeness of Case Eigenfunctions and Numerical Solution of Singular Integral Equations of Particle Transport Problems

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dc.contributor.authorSahni, D. C.
dc.contributor.authorTureci, R. G.
dc.contributor.authorBozkir, A. Z.
dc.date.accessioned2021-01-14T18:10:24Z
dc.date.available2021-01-14T18:10:24Z
dc.date.issued2020
dc.departmentKKÜ
dc.descriptionTureci, RG/0000-0001-6309-6300
dc.description.abstractWe study numerical solution of Singular Integral Equations (SIE) of particle transport theory. We convert them into matrix equations by standard discretization process. It is found that the matrices are highly ill-conditioned and can be solved by Singular Value Decomposition (SVD) method. One expects that matrices resulting from expansions over Partial Range will not be ill-conditioned. We find this is not true though their ill-conditioning is an order of magnitude less than those of full or half range. Reasons for this phenomenon are explained.en_US
dc.description.sponsorshipTUBITAKTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Kind Hospitality of University of Kirikkaleen_US
dc.description.sponsorshipFinancial support from TUBITAK and Kind Hospitality of University of Kirikkale is gratefully acknowledged.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1080/23324309.2020.1819329
dc.identifier.endpage367en_US
dc.identifier.issn2332-4309
dc.identifier.issn2332-4325
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85092088939
dc.identifier.scopusqualityQ3
dc.identifier.startpage349en_US
dc.identifier.urihttps://doi.org/10.1080/23324309.2020.1819329
dc.identifier.urihttps://hdl.handle.net/20.500.12587/12569
dc.identifier.volume49en_US
dc.identifier.wosWOS:000575238200001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTAYLOR & FRANCIS INCen_US
dc.relation.ispartofJOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCase eigenfunctionsen_US
dc.subjectpartial rangeen_US
dc.subjectsingular integral equationsen_US
dc.subjectnumerical solutionen_US
dc.titlePartial Range Completeness of Case Eigenfunctions and Numerical Solution of Singular Integral Equations of Particle Transport Problemsen_US
dc.typeArticle

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