References
- B. Davison, Neutron Transport Theory, Oxford University Press, London, 1958.
- M.M.R. Williams, Mathematical Methods in Particle Transport Theory, Oxford University Press, London, 1971.
- G.I. Bell, S. Glasstone, Nuclear Reactor Theory, Von Nostrand Reinhold, New York, 1972.
- K.M. Case, Elementary solutions of the transport equation and their applications, Ann. Phys. 9 (1) (1960) 1-23, https://doi.org/10.1016/0003-4916(60)90060-9.
- K.M. Case, P.F. Zweifel, Linear Transport Theory, Addition-Wesley, MA, 1967.
- C.E. Siewert, P. Benoist, The FN method in neutron-transport theory, Part I: theory and applications, Nucl. Sci. Eng. 69 (1979) 156. https://doi.org/10.13182/NSE79-1
- P. Grandjean, C.E. Siewert, The FN method in neutron-transport theory, Part II: applications and numerical results, Nucl. Sci. Eng. 69 (1979) 161. https://doi.org/10.13182/NSE79-A20608
- A. Kavenoky, The CN method of solving the transport equation: application to plane geometry, Nucl. Sci. Eng. 65 (1978) 209-225. https://doi.org/10.13182/NSE78-A27152
- C. Tezcan, A. Kaskas, M.C. Gulecyuz, The H-N method for solving linear transport equation: theory and Applications, J. Quant. Spectrosc. Radiat. Transfer 78 (2) (2003) 243-254. https://doi.org/10.1016/S0022-4073(02)00224-8
- K.M. Case, F. de Hoffmann, G. Placzek, Introduction to the Theory of Neutron Diffusion, Los Alamos, New Mexico, 1953.
- J. Mika, Neutron transport with anisotropic scattering, Nucl. Sci. Eng. 11 (1961) 415. https://doi.org/10.13182/NSE61-1
- N.J. McCormick, I. Kuscer, Half-space neutron transport with linearly anisotropic scattering, J. Math. Phys. 6 (12) (1965) 1939. https://doi.org/10.1063/1.1704744
- V. Protopopescu, N.G. Sjostrand, On the solution of the dispersion equation for monoenergetic neutron transport with linearly anisotropic scattering, Prog. Nucl. Energy 7 (1) (1981) 47. https://doi.org/10.1016/0149-1970(81)90059-7
- A. Kavenoky, The CN Method of solving the transport equation: application to plane geometry, Nucl. Sci. Eng. 65 (1978) 209. https://doi.org/10.13182/NSE78-A27152
- D.C. Sahni, N.G. Sjostrand, N.S. Garis, Criticality and time eigenvalues for onespeed neutrons in a slab with forward and backward scattering, J. Phys. D Appl. Phys. 25 (10) (1992) 1381. https://doi.org/10.1088/0022-3727/25/10/001
- R.G. Tureci, D. Türeci, Time dependent albedo problem for quadratic anisotropic scattering, Kerntechnik 72 (1-2) (2007) 59. https://doi.org/10.3139/124.100319
- R.G. Tureci, The albedo problem for pure-quadratic anisotropic scattering with Inonu scattering, Kerntechnik 75 (5) (2010) 292. https://doi.org/10.3139/124.110086
- E. Inonu, A theorem on anisotropic scattering, Transp. Theory Stat. Phys. 3 (1973) 137-147. https://doi.org/10.1080/00411457308205276
- E. Inonu, Scalar and time inversion of the linear mono-energetic Boltzmann equation, Phys. Fluids 19 (1976) 1332-1335. https://doi.org/10.1063/1.861659
- C.E. Siewert, M.M.R. Williams, The effect of anisotropic scattering on the critical slab problem in neutron transport theory using a synthetic kernel, J. Phys. D Appl. Phys. 10 (15) (1977) 2031-2040. https://doi.org/10.1088/0022-3727/10/15/007
- M.M.R. Williams, A synthetic scattering kernel for particle transport in absorbing media with anisotropic scattering, J. Phys. D Appl. Phys. 11 (18) (1978) 2455-2463. https://doi.org/10.1088/0022-3727/11/18/004
- D.C. Sahni, N.G. Sjostrand, Criticality eigenvalues of the one-speed transport equation with strong forward-backward scattering-relationship with rod model, Transp. Theory Stat. Phys. 27 (2) (1998) 137-158. https://doi.org/10.1080/00411459808205812
- C. Devaux, C.E. Siewert, Y. Yener, The effect of forward and backward scattering on the spherical albedo for a finite plane-parallel atmosphere, J. Quant. Spectrosc. Radiat. Transfer 21 (6) (1979) 505-509. https://doi.org/10.1016/0022-4073(79)90091-8
- C. Tezcan, R. Sever, The critical slab with the backward-forward-isotropic scattering model, Ann. Nucl. Energy 12 (10) (1985) 573-576. https://doi.org/10.1016/0306-4549(85)90030-1
- M.M.R. Williams, The energy-dependent backward-forward-isotropic scattering model with some applications to the neutron transport equation, Ann. Nucl. Energy 12 (4) (1985) 167-176. https://doi.org/10.1016/0306-4549(85)90042-8
- C. Tezcan, C. Yildiz, The effect of forward, backward and linear anisotropic scattering on the critical slab thickness, J. Quant. Spectrosc. Radiat. Transfer 53 (6) (1995) 687-691. https://doi.org/10.1016/0022-4073(95)00019-H
- C. Yildiz, E. Alcan, The effect of strong anisotropic scattering on the critical sphere problem in neutron transport theory using a synthetic kernel, Ann. Nucl. Energy 22 (10) (1995) 671-679. https://doi.org/10.1016/0306-4549(94)00092-S
- C. Yildiz, Variation of the albedo and the transmission factor with forward and backward scattering in neutron transport theory- the FN method, Ann. Nucl. Energy 27 (9) (2000) 831-840. https://doi.org/10.1016/S0306-4549(00)00002-5
- F.S. de Azevedo, E. Sauter, P.H.A. Konzen, M. Thompson, Numerical results for the transport equation with strongly anisotropic scattering in a slab, Ann. Nucl. Energy 79 (2015) 61-67. https://doi.org/10.1016/j.anucene.2015.01.017
- R.G. Tureci, D. Tureci, Half-space albedo problem with Modified FN method for linear and quadratic anisotropic scattering, Kerntechnik 82 (2) (2017) 239-245. https://doi.org/10.3139/124.110641
- R.G. Tureci, D. Tureci, Slab albedo for linearly and quadratically anisotropic scattering kernel with Modified FN method, Kerntechnik 82 (5) (2017) 693-699. https://doi.org/10.3139/124.110806
- R.G. Tureci, The Half-Space Albedo Calculations with the Linear-Quadratic Anisotropic Scattering with Singular Eigenfunction Method, vol. 13, Suleyman Demirel University Faculty of Arts and Sciences Journal of Science, 2018, pp. 144-153 (2).
- R.G. Tureci, Lineer-Kuadratik Anizotropik Sacilma Icin Kritiklik Probleminde Yansitici Ozdegerleri, vol. 14, Suleyman Demirel University Faculty of Arts and Sciences Journal of Science, 2019, pp. 1-15 (1).
- Mathematica Software, Wolfram researches, UK.
Cited by
- Critical thickness problem for tetra-anisotropic scattering in the reflected reactor system vol.95, pp.4, 2021, https://doi.org/10.1007/s12043-021-02190-1