Numerical Solution of the Fokker–Planck Equation by Finite Difference and Finite Element Methods—A Comparative Study

Computational Methods in Stochastic Dynamics - Computational Methods in Applied Sciences ◽

10.1007/978-94-007-5134-7_5 ◽

2013 ◽

pp. 69-85 ◽

Author(s):

L. Pichler ◽

A. Masud ◽

L. A. Bergman

Keyword(s):

Finite Element ◽

Finite Difference ◽

Comparative Study ◽

Numerical Solution ◽

Finite Element Methods ◽

Planck Equation ◽

Fokker Planck Equation ◽

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Numerical Solution of the Fokker-Planck Equation by Spectral Collocation and Finite-Element Methods for Stochastic Magnetization Dynamics

IEEE Transactions on Magnetics ◽

10.1109/tmag.2021.3084335 ◽

2021 ◽

pp. 1-1

Author(s):

Valentino Scalera ◽

Patrizio Ansalone ◽

Salvatore Perna ◽

Claudio Serpico ◽

Massimiliano d'Aquino

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Finite Element Methods ◽

Planck Equation ◽

Magnetization Dynamics ◽

Spectral Collocation ◽

Fokker Planck Equation ◽

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The application of the finite element library TWODEPEP for the numerical solution of the relativistic Fokker-Planck equation

Computer Physics Communications ◽

10.1016/0010-4655(87)90090-7 ◽

1987 ◽

Vol 46 (3) ◽

pp. 337-344 ◽

Author(s):

M. Shoucri ◽

V. Fuchs ◽

A. Bers

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Planck Equation ◽

Fokker Planck Equation ◽

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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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Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems

Sadhana ◽

10.1007/bf02716786 ◽

2006 ◽

Vol 31 (4) ◽

pp. 445-461 ◽

Author(s):

Pankaj Kumar ◽

S. Narayanan

Keyword(s):

Finite Element ◽

Nonlinear Systems ◽

Finite Difference ◽

Finite Difference Methods ◽

Planck Equation ◽

Fokker Planck Equation ◽

Difference Methods ◽

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Application of multi-scale finite element methods to the solution of the Fokker–Planck equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2004.06.041 ◽

2005 ◽

Vol 194 (12-16) ◽

pp. 1513-1526 ◽

Author(s):

Arif Masud ◽

Lawrence A. Bergman

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Planck Equation ◽

Multi Scale ◽

Fokker Planck Equation ◽

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Numerical Solution of the Fokker-Planck Equation Using the Finite Difference Method. 1st Report. Analysis of a Single DOF Nonlinear Oscillator.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.65.2188 ◽

1999 ◽

Vol 65 (634) ◽

pp. 2188-2195

Author(s):

Koji KIMURA ◽

Shinji TAMURA

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Numerical Solution ◽

Difference Method ◽

Nonlinear Oscillator ◽

Planck Equation ◽

Fokker Planck Equation ◽

Report Analysis ◽

The Finite Difference Method ◽

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Numerical solution of the Fokker–Planck equation for fiber suspensions: Application to the Folgar–Tucker–Lipscomb model

Journal of Non-Newtonian Fluid Mechanics ◽

10.1016/j.jnnfm.2008.04.004 ◽

2008 ◽

Vol 155 (1-2) ◽

pp. 20-29 ◽

Author(s):

J. Férec ◽

M. Heniche ◽

M.C. Heuzey ◽

G. Ausias ◽

P.J. Carreau

Keyword(s):

Numerical Solution ◽

Planck Equation ◽

Fiber Suspensions ◽

Fokker Planck Equation ◽

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Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

SIAM Journal on Numerical Analysis ◽

10.1137/080714130 ◽

2009 ◽

Vol 47 (1) ◽

pp. 204-226 ◽

Author(s):

Weihua Deng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Planck Equation ◽

Space And Time ◽

Fokker Planck Equation ◽

Element Method ◽

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A Time-Discontinuous Galerkin Approach for the Numerical Solution of the Fokker-Planck Equation

Recent Developments and Innovative Applications in Computational Mechanics ◽

10.1007/978-3-642-17484-1_35 ◽

2011 ◽

pp. 311-319

Author(s):

Udo Nackenhorst ◽

Friederike Loerke

Keyword(s):

Numerical Solution ◽

Discontinuous Galerkin ◽

Planck Equation ◽

Galerkin Approach ◽

Fokker Planck Equation ◽

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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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