Numerical Solution of the One-Dimensional General Diffusion Equation

The general diffusion equation is equivalent to the Fokker-Planck equation and it also appears when expressing the standard diffusion equation in another coordinate system by a non-linear transformation, e.g. in phase-space variable transformations. We establish a reliable algorithm solving this equ...

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Autor principal: Tückmantel, Joachim
Lenguaje:eng
Publicado: 2005
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/816172
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author Tückmantel, Joachim
author_facet Tückmantel, Joachim
author_sort Tückmantel, Joachim
collection CERN
description The general diffusion equation is equivalent to the Fokker-Planck equation and it also appears when expressing the standard diffusion equation in another coordinate system by a non-linear transformation, e.g. in phase-space variable transformations. We establish a reliable algorithm solving this equation for any possible case, and realize it in a computer program. When applied to cases where analytical solutions are known, this program gives results which are in excellent agreement with these.
id cern-816172
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2005
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spelling cern-8161722019-09-30T06:29:59Zhttp://cds.cern.ch/record/816172engTückmantel, JoachimNumerical Solution of the One-Dimensional General Diffusion EquationAccelerators and Storage RingsThe general diffusion equation is equivalent to the Fokker-Planck equation and it also appears when expressing the standard diffusion equation in another coordinate system by a non-linear transformation, e.g. in phase-space variable transformations. We establish a reliable algorithm solving this equation for any possible case, and realize it in a computer program. When applied to cases where analytical solutions are known, this program gives results which are in excellent agreement with these.AB-Note-2005-004CERN-AB-Note-2005-004oai:cds.cern.ch:8161722005-01-27
spellingShingle Accelerators and Storage Rings
Tückmantel, Joachim
Numerical Solution of the One-Dimensional General Diffusion Equation
title Numerical Solution of the One-Dimensional General Diffusion Equation
title_full Numerical Solution of the One-Dimensional General Diffusion Equation
title_fullStr Numerical Solution of the One-Dimensional General Diffusion Equation
title_full_unstemmed Numerical Solution of the One-Dimensional General Diffusion Equation
title_short Numerical Solution of the One-Dimensional General Diffusion Equation
title_sort numerical solution of the one-dimensional general diffusion equation
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/816172
work_keys_str_mv AT tuckmanteljoachim numericalsolutionoftheonedimensionalgeneraldiffusionequation

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