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Diffusion equation

The diffusion equation is a parabolic partial differential equation. In physics, it describes the macroscopic behavior of many micro-particles in Brownian motion, resulting from the random movements and collisions of the particles (see Fick's laws of diffusion). In mathematics, it is related to Markov processes, such as random walks, and applied in many…

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Discretization in image processing

Product ruleTraceTensorTransposeEigenvectors
8 related topics

Historical origin

Particle diffusion equationAdolf Fick
2 related topics

Statement

DensityDiffusion coefficientDifferential operatorDelIsotropic
6 related topics

Derivation

Continuity equationFick's first lawFokker–Planck equation
3 related topics

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Derivation

Discretization

Discretization in image processing

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Diffusion equation

Nodes39
Edges38
Triples138
Avg. degree1.95
Density0.051282
Components1

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Diffusion equation

Top relations

related to Further reading · 109
Diffusion equation → Academic PressPhilibert, Adsorption, Advection, Adventure Diffusion SpringerGillespie, Alecian, American Mathematical SocietyIbe, American Mathematical SocietyKnight, American Mathematical SocietyKrylov, Applications, Applied Solutions, Asymptotic Solutions, Atmospheric, Atomic Diffusion, Benjamin, BirkhäuserBurgers, Bocquet, Brebec, Brownian Motion, Carslaw, Clarendon PressJacobs
related to Derivation · 6
Diffusion equation → Effectively, Fick's, Fokker, If, Planck, The
related to Discretization · 6
Diffusion equation → Discretizing, Gaussian, Green's, In, One, The
related to External links · 6
Diffusion equation → Classical, Diffusion Calculator, Dopants, Impurities, Silicon Archived, Wayback MachineA
see also · 3
Diffusion equation → Continuity, Planck, Stefan
is a · 2
Diffusion equation → parabolic partial differential equation, special case of the convection
related to Discretization in image processing · 2
Diffusion equation → Big, The
related to Historical origin · 2
Diffusion equation → Adolf Fick, The
related to Statement · 2
Diffusion equation → If, The

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diffusion equation springer processes partial theory press random density displaystyle phi mathbf time 2013 differential brownian heat frac nabla material

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Diffusion equationis aparabolic partial differential equation0.90text
Diffusion equationis aspecial case of the convection0.90text
Diffusion equationrelated to DerivationThe0.60section
Diffusion equationrelated to DerivationEffectively0.60section
Diffusion equationrelated to DerivationFick's0.60section
Diffusion equationrelated to DerivationIf0.60section
Diffusion equationrelated to DerivationFokker0.60section
Diffusion equationrelated to DerivationPlanck0.60section
Diffusion equationrelated to DiscretizationThe0.60section
Diffusion equationrelated to DiscretizationOne0.60section
Diffusion equationrelated to DiscretizationDiscretizing0.60section
Diffusion equationrelated to DiscretizationIn0.60section

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