On the Build-Up Factor from the Multi-Group Neutron Diffusion Equation with Cylindrical Symmetry

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References

[1] J. Wood, “Computational Methods in Reactor Shielding,” Pergamon Press, Oxford, 1982.

[2] B. D. A. Rodriguez, M. T. Vilhena and V. Borges, “The Determination of the Exposure Build-Up Factor Fomultion in a Slab Using the LTSN Method,” Kerntechnik, Vol. 71, No. 4, 2006, pp. 182-184.

[3] H. Hirayama and K. Shin, “Application of the EGS4 Monte Carlo Code to a Study of Multilayer Gamma-Ray Exposure Build-Up Factors,” Journal of Nuclear Science and Technology, Vol. 35, No. 11, 1998, pp. 816-829.
doi:10.1080/18811248.1998.9733949

[4] B. D. A. Rodriguez, M. T. Vilhena and V. Borges, “A Solution for the Two-Dimensional Transport Equation for Photons and Electrons in a Rectangular Domain by the Laplace Transform Technique,” International Journal of Nuclear Energy Science and Technology, Vol. 5, No. 1, 2010, pp. 25-40.

[5] G. C. Pomraning, “Flux-Limited Diffusion and FokkerPlanck Equations,” Nuclear Science and Engineering, Vol. 85, No. 2, 1983, pp. 116-126.

[6] M. T. Vilhena, C. F. Segatto and L. B. Barichello, “A Particular Solution for the SN Radiative Transfer Problems,” Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 53, No. 4, 1995, pp. 467-469.
doi:10.1016/0022-4073(95)90020-9

[7] V. Borges, J. C. L. Fernandes, M. T. Vilhena, B. Bodmann and B. D. A. Rodriguez, “A Closed-Form Formulation for the Build-Up Factor and Absorbed for Photons and Electrons in the Compton Energy Range in Cartesian Geometry,” World Journal of Nuclear Science and Technology, Vol. 1, No. 2, 2012, pp. 23-28.
doi:10.4236/wjnst.2012.21004

[8] C. Borges and W. Larsen, “The Transversed Integrated Scalar Flux of a Narrowly Focused Particle Beam,” SIAM Journal on Applied Mathematics, Vol. 55, No. 1, 1995, pp. 1-22.

[9] J. Lamarsh, “Introduction to Nulcear Reactor Theory,” McGrawn-Hill Company, New York, 1972.