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applied mathematics

空间分数阶扩散方程

Space-fractional diffusion equation

A generalization of the classical diffusion equation where the Laplacian operator is replaced by a fractional derivative operator, often used to model anomalous diffusion phenomena. / 经典扩散方程的推广,其中拉普拉斯算子被分数阶导数算子取代,常用于模拟反常扩散现象。

Knowledge type
数学理论
First proposed or discovered
Proposer
Turkey Farm member
Creator
农场主
Last updated
2026-11-05 21:06:12
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Sub-knowledge points

Two-dimensional anisotropic space-fractional diffusionResidual-controlled numerical method

Higher-order knowledge points

Fractional Calculus / 数学理论Anomalous diffusionNumerical analysis of PDEs

Main parameters and performance indicators

Anisotropy: Directional dependence of the diffusion coefficientSpace-fractional order: Determines the non-locality of the operator

Open problems

No unresolved problem recorded yet

Related literature

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A residual-controlled method for two-dimensional anisotropic space-fractional diffusion equationsOpen source

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Creation and modification trail

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automated knowledge publish农场主2026-11-05 21:06:12

Record title: Space-fractional diffusion equation.