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Öğe Application of the H-N method to the critical slab problem for reflecting boundary conditions(Pergamon-Elsevier Science Ltd, 2004) Türeci, R.G.; Güleçyüz, M.C.; Kaskas, A.; Tezcan, C.The recently developed H-N method is used to solve the critical slab problem for a slab which is surrounded by a reflector. In the special case: for R = 0 (the reflection coefficient) the problem reduces to the one under vacuum boundary conditions. It is shown that the method is concise and leads to fast converging numerical results. The presented numerical results are compared with the data available in literature. (C) 2004 Elsevier Ltd. All rights reserved.Öğe The HN method for half-space Albedo and constant source problems for isotropic and anisotropic scattering kernels(Pergamon-Elsevier Science Ltd, 2007) Tezcan, C.; Güleçyüz, M. C.; Türeci, R. G.; Kaskas, A.The H-N method, which is developed recently, is used to solve the half-space albedo and the half-space constant source problems for both isotropic and extremely anisotropic scattering kernels. It has been shown that the method solves the problems in a concise manner and leads to fast converging numerical results as shown in tables. (c) 2006 Elsevier Ltd. All rights reserved.Öğe The singular eigenfunction method: the critical slab problem for linearly anisotropic scattering(Carl Hanser Verlag, 2005) Türeci, Recep Gökhan; Güleçyüz, Mustafa Çetin; Kaskas, A.; Tezcan, C.The critical slab problem for linearly anisotropic scattering is investigated using the singular eigenfunction method. The third form of the transport equation is considered. The singular eigenfunctions for linearly anisotropic scattering are inserted into the Green's function. This Green's function with the full range orthogonality relations of the singular eigenfunctions together with the appropriate boundary conditions provide the criticality equation. This equation is exact and leads as shown in tables to fast converging numerical results.