Ganapol, Barry D.López Pouso, Óscar2025-01-022025-01-022023-07-14Ganapol 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.2023.07.003052576-4543https://hdl.handle.net/10347/38309The 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.eng©2023 Ganapol, et al. This is an open access article distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License, which permits unrestricted use, distribution, and build upon your work non-commercially.http://creativecommons.org/licenses/by-nc/4.0/Adding and doubling solution to the 1D Fokker-Planck Equationjournal article10.15406/paij.2023.07.00305open access