RT Journal Article
T1 Adding and doubling solution to the 1D Fokker-Planck Equation
A1 Ganapol, Barry D.
A1 López Pouso, Óscar
AB The 1D Fokker-Planck equation (FPE) plays a major role in the propagation of light in the universe. It specifically describes small angle scattering of photons (and electrons) as they travel in participating media. In particular, the differential scattering term representing the phase function scattering law enables the small angle scattering. This term also makes the FPE a challenge to solve in the discrete ordinate sense. Our approach utilizes adding and doubling, which has been successfully applied since the 1960s to solve the linear Boltzmann equation. With the help of Morel’s discrete ordinate equivalence of the angular Laplacian, the FPE becomes similar to the discrete ordinates equation of linear transport theory. We then take advantage of the similarity through adding and doubling for its solution.
PB MedCrave
SN 2576-4543
YR 2023
FD 2023-07-14
LK https://hdl.handle.net/10347/38309
UL https://hdl.handle.net/10347/38309
LA eng
NO Ganapol BD, Pouso OL. Adding and doubling solution to the 1D Fokker-Planck Equation. Phys Astron Int J. 2023;7(3):170-173. DOI: 10.15406/paij.2023.07.00305
NO OLP acknowledges support from Ministerio de Ciencia e Innovación (Spain), project PID2021-122625OB-I00 with funds from MCIN/AEI/10.13039/  501100011033/ERDF, UE, and from the Xunta de Galicia (2021 GRC Gl-1563 - ED431C 2021/15).
DS Minerva
RD 28 abr 2026