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Response Matrix/Discrete Ordinates Solution of the 1D Fokker-Planck Equation

B. D. Ganapol, Ó. López Pouso

Nuclear Science and Engineering / Volume 197 / Number 9 / September 2023 / Pages 2327-2342

Research Article / dx.doi.org/10.1080/00295639.2023.2194228

Received:January 22, 2023
Accepted:March 15, 2023
Published:August 1, 2023

The Fokker-Planck equation (FPE) is one of the quintessential equations of particle transport theory. Representing small angle scattering characteristics of electron and photon transport by differential scattering indeed is a mathematical/numerical challenge. Here, we address the challenge with the method of response matrix applied to the Sn approximation to arrive at a nearly six-place-precision benchmark. Our approach aligns with the response matrix solution of the radiative transfer equation for anisotropic scattering published previously. We conclude with the comparison of the response matrix benchmark to a classical finite difference approximation.