Numerical Experiments with the Fokker-Planck Equation in 1D Slab Geometry

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URI: https://hdl.handle.net/10347/38249
E-ISSN: 2332-4325
DOI: 10.1080/23324309.2016.1150856

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2016-04-28

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Taylor & Francis Online
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Abstract

Several numerical experiments with the steady monoenergetic Fokker–Planck equation in the one-dimensional (1D) slab are performed and discussed. Planar-geometry symmetry is assumed. Results are obtained with a new numerical scheme of order 2 based on finite differences.

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This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Computational and Theoretical Transport on 28 Apr 2016, available at: https://doi.org/10.1080/23324309.2016.1150856

Keywords

Fokker–Planck equation| Finite differences| Crank–Nicolson scheme| Two-way diffusion equations| Continuous scattering operator

Bibliographic citation

Pouso, Ó. L., & Jumaniyazov, N. (2016). Numerical Experiments with the Fokker–Planck Equation in 1D Slab Geometry. Journal of Computational and Theoretical Transport, 45(3), 184–201. https://doi.org/10.1080/23324309.2016.1150856

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This work was co-financed by the European Regional Development Fund (ERDF) and the Xunta de Galicia under the GRC2013-014 grant, and by the Spanish Ministry of Economy and Competitiveness under the MTM2013-43745-R grant. The authors are also indebted to Prof. Arnold D. Kim, from the University of California, Merced, for having generously clarified some queries on his paper [6].

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Attribution-NonCommercial-NoDerivatives 4.0 International

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