A conservative, free energy dissipating, and positivity preserving finite difference scheme for multi-dimensional nonlocal Fokker–Planck equation

Journal of Computational Physics ◽

10.1016/j.jcp.2019.02.028 ◽

2019 ◽

Vol 386 ◽

pp. 22-36 ◽

Author(s):

Yiran Qian ◽

Zhongming Wang ◽

Shenggao Zhou

Keyword(s):

Free Energy ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Planck Equation ◽

Positivity Preserving ◽

Fokker Planck Equation ◽

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Finite difference scheme for the time-fractional Fokker–Planck equation with time- and space-dependent forcing

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1461214 ◽

2018 ◽

Vol 96 (2) ◽

pp. 379-398 ◽

Author(s):

Shuqing Yan ◽

Mingrong Cui

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Planck Equation ◽

Time And Space ◽

Fokker Planck Equation ◽

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Fifth-order finite-difference scheme for Fokker-Planck equations with drift-admitting jumps

Physical Review E ◽

10.1103/physreve.100.053303 ◽

2019 ◽

Vol 100 (5) ◽

Author(s):

Yaming Chen ◽

Xiaogang Deng

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Fokker Planck Equations ◽

Fifth Order ◽

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A new positivity-preserving nonstandard finite difference scheme for the DWE

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20073 ◽

2005 ◽

Vol 21 (5) ◽

pp. 976-985 ◽

Author(s):

Ronald E. Mickens ◽

P. M. Jordan

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Positivity Preserving ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson–Nernst–Planck equations

Numerische Mathematik ◽

10.1007/s00211-020-01109-z ◽

2020 ◽

Vol 145 (1) ◽

pp. 77-115 ◽

Author(s):

Jingwei Hu ◽

Xiaodong Huang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Positivity Preserving ◽

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A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2020.1841755 ◽

2020 ◽

Vol 26 (11-12) ◽

pp. 1423-1427

Author(s):

Ronald E. Mickens ◽

Talitha M. Washington

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Positivity Preserving ◽

Advection Diffusion ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Numerical solutions of the Fokker–Planck equation by the finite difference method for the thermally assisted reversal of the magnetization in a single-domain particle

Journal of Magnetism and Magnetic Materials ◽

10.1016/s0304-8853(01)01364-6 ◽

2002 ◽

Vol 242-245 ◽

pp. 1002-1004 ◽

Author(s):

Hiroshi Fukushima ◽

Yasutaro Uesaka ◽

Yoshinobu Nakatani ◽

Nobuo Hayashi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Numerical Solutions ◽

Planck Equation ◽

Single Domain ◽

Single Domain Particle ◽

Fokker Planck Equation ◽

The Finite Difference Method ◽

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Numerical Solution of the Fokker-Planck Equation Using the Finite Difference Method. 2nd Report. Analysis of a Hysteretic System.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.65.2196 ◽

1999 ◽

Vol 65 (634) ◽

pp. 2196-2202

Author(s):

Shinji TAMURA ◽

Koji KIMURA

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Numerical Solution ◽

Difference Method ◽

Planck Equation ◽

Hysteretic System ◽

Fokker Planck Equation ◽

Report Analysis ◽

The Finite Difference Method ◽

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Combined Hermite spectral-finite difference method for the Fokker-Planck equation

Mathematics of Computation ◽

10.1090/s0025-5718-01-01365-5 ◽

2001 ◽

Vol 71 (240) ◽

pp. 1497-1529 ◽

Author(s):

Johnson C. M. Fok ◽

Benyu Guo ◽

Tao Tang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Planck Equation ◽

Fokker Planck Equation ◽

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Two-level difference scheme for the two-dimensional Fokker–Planck equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.09.001 ◽

2021 ◽

Vol 180 ◽

pp. 276-288

Author(s):

Muhammad Munir Butt

Keyword(s):

Difference Scheme ◽

Planck Equation ◽

Two Dimensional ◽

Level Difference ◽

Fokker Planck Equation ◽

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Conditional full stability of positivity-preserving finite difference scheme for diffusion–advection-reaction models

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.02.031 ◽

2018 ◽

Vol 341 ◽

pp. 157-168 ◽

Author(s):

Rafael Company ◽

Vera N. Egorova ◽

Lucas Jódar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Positivity Preserving ◽

Reaction Models

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