Analytic Solution of the SN Equations by Integral Transform Technique
The LTSN method that appeared in the last decades [1, 2], solves the dicrete ordinates equations (SN equations) by the Laplace transform technique in a slab. The main idea is: (i) application of the Laplace transform to the set of SN equations, (ii) analytical solution of the resulting linear system depending on the complex parameter s, and (iii) analytic inversion of the transformed angular flux. The convergence of the LTSJV method was proved in the framework of C0-semigroup theory .
KeywordsCylindrical Geometry Transport Problem Isotropic Scattering Analytic Inversion Result Linear System
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