The analytical solution program for the time-dependent neutron transport equation has undergone a significant evolution since the work of Case [CaZw67], where the one-dimensional stationary problem in a slab was solved analytically. There exists a relevant literature concerning the issue of solving the time-dependent neutron equation in a planar geometry for an unbounded domain. We mention the works of Ganapol and Filippone [GaFi82], Ganapol and Pomraning [GaPo83], Ganapol [Ga86], Ganapol and Matsumoto GaMa86], and Abdul [Ab06]. On the other hand, regarding the literature for bounded domains, we cite the works of Windhofer and Pucker [WiPu85], Warsa and Prinja [WaPr98], Oliveira et al. [OlCaVi02], [OlEtAl02], El-Wakil et al. [ElDeSa05], [ElDeSa06], Türeci et al. [TuGuTe07], Türeci and Türeci [TuTu07], Hadad et al. [HaPiAy08], Coppa et al. [CoEtAl08], [CoDuRa10], and Cargo and Samba [Ca10].
CITATION STYLE
Tomaschewski, F. K., Segatto, C. F., & Vilhena, M. T. (2013). A genuine analytical solution for the SN multi-group neutron equation in planar geometry. In Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques (pp. 329–339). Springer New York. https://doi.org/10.1007/978-1-4614-7828-7_23
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