RT Journal Article
T1 Response Matrix/Discrete Ordinates Solution of the 1D Fokker-Planck Equation
A1 Ganapol, Barry D.
A1 López Pouso, Óscar
K1 Fokker-Planck equation
K1 Response matrix
K1 Matrix exponential
AB 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.
PB Taylor & Francis
SN 1943-748X
YR 2023
FD 2023-06-01
LK https://hdl.handle.net/10347/38304
UL https://hdl.handle.net/10347/38304
LA eng
NO Ganapol, & López Pouso, Ó. (2023). Response Matrix/Discrete Ordinates Solution of the 1D Fokker-Planck Equation. Nuclear Science and Engineering, 197(9), 2327-2342. https://doi.org/10.1080/00295639.2023.2194228
NO This is an Accepted Manuscript of an article published by Taylor & Francis in Nuclear Science and Engineering on 1 Jun 2023, available at: https://doi.org/10.1080/00295639.2023.2194228
NO OLP acknowledges support from Ministerio de Ciencia e Innovación, project PID2021-122625OB-I00 with funds from MCIN/AEI/10.13039/501100011033/ FEDER, UE, and from the Xunta de Galicia (2021 GRC Gl-1563 - ED431C 2021/15). Both authors acknowledge one of the reviewers for their insightful review and for significantly improving our paper.
DS Minerva
RD 24 abr 2026