The singular eigenfunction method: the milne problem for isotropic and extremely anisotropic scattering

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dc.contributor.authorKaşkaş, A.
dc.contributor.authorGüleçyüz, M. Ç.
dc.contributor.authorErdoğan, F.
dc.contributor.authorTezcan, C.
dc.contributor.authorID4180tr_TR
dc.contributor.departmentBölüm Yoktr_TR
dc.date.accessioned2018-08-13T11:22:56Z
dc.date.available2018-08-13T11:22:56Z
dc.date.issued2000-10
dc.descriptionI. Avrasya Nükleer Bilimler ve Uygulamaları Konferansı : 23-27 Ekim 2000. İzmir, Türkiye.tr_TR
dc.description.abstractIn the CN method of solving the third form of the transport equation, the medium as a result of Placzek lemma is extend to infinity. Infinite medium Green function which is obtained by the Fourier transform technique is used and the method is applied to one velocity problems in plane and cylindrical geometries. As the result of physical applications of the CN method in different geometries, it is seen that the only difficulty lies in writting the expression of the Green’s function in a form easy to handle. In the new method of solving of the third form of the transport equation (that we have generated recently), three methods, namely, CN, FN and the method of elementary solutions are considered, compared and the Green function in terms of the singular eigenfunctions is used. This method yields simple analytical expressions that can be solved numerically more efficiently than the CN method because the expression of the Green function is in the form easy to handle. Here this new method is applied to calculate the extrapolation length for the Milne problem which is classical problem in astrophysics concerned with the diffusion of radiation through a stellar atmosphere for both isotropic and extremely anisotropic scatterings. It is shown that the numerical results which are tabulated for selected cases are accurate even in the approximations of the lowest order and are in good agreement with the numerical results obtained by the other methods.tr_TR
dc.identifier.citationKaşkaş, A. ... [ve arkadaşları]., (2000). The singular eigenfunction method: the milne problem for isotropic and extremely anisotropic scattering. I. Eurasia Conference on Nuclear Science and Its Application, Presentations, Vol 2, (s. 1137-1143). 23-27 October 2000. İzmir, Turkey.tr_TR
dc.identifier.endpage1143tr_TR
dc.identifier.startpage1137tr_TR
dc.identifier.urihttp://kurumsalarsiv.tenmak.gov.tr/handle/20.500.12878/850
dc.language.isoengtr_TR
dc.publisherTurkish Atomic Energy Authoritytr_TR
dc.relation.journalI. Eurasia Conference on Nuclear Science and Its Application : Presentations, 23-27 October 2000. İzmir, Turkey.tr_TR
dc.rightsinfo:eu-repo/semantics/openAccesstr_TR
dc.subjectSingular eigenfunction methodtr_TR
dc.subjectTekil özfonksiyon yöntemitr_TR
dc.subjectMilne problemtr_TR
dc.subjectMil problemitr_TR
dc.subjectIsotropic and extremely anisotropic scatteringtr_TR
dc.subjectİzotropik ve aşırı anizotropik saçılmatr_TR
dc.titleThe singular eigenfunction method: the milne problem for isotropic and extremely anisotropic scatteringtr_TR
dc.typeconferenceObjecttr_TR
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I. Eurasia conference on nuclear science and its application : presentations, 23-27 October 2000. İzmir, Turkey.