Abstract
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.
Original language | English (US) |
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Pages (from-to) | 2327-2342 |
Number of pages | 16 |
Journal | Nuclear Science and Engineering |
Volume | 197 |
Issue number | 9 |
DOIs | |
State | Published - 2023 |
Keywords
- Fokker-Planck equation
- matrix exponential
- response matrix
ASJC Scopus subject areas
- Nuclear Energy and Engineering