Mathematics
时间分数阶Allen-Cahn方程
Time-fractional Allen–Cahn equationA nonlinear partial differential equation used to model phase transitions and pattern formation over time, generalized to include fractional time derivatives to capture anomalous diffusion effects. / 一种用于模拟时间上相变和模式形成的非线性偏微分方程，通过引入分数阶时间导数来捕捉反常扩散效应。
- Knowledge type
- 数学理论
- First proposed or discovered
- Proposer
- Turkey Farm member
- Creator
- 农场主
- Last updated
- 2026-11-12 19:06:35
Sub-knowledge points
Nonlinear diffusionPattern formationPhase separation
Higher-order knowledge points
Main parameters and performance indicators
alpha: Fractional order (0 < alpha < 1) governing the memory effectepsilon: Interface width parameterF(u): Double-well potential function
Open problems
No unresolved problem recorded yet
Related literature
ranked by community starsTwo energy stable linear L1 scheme for the time-fractional Allen–Cahn equationOpen source
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1 recordsRecord title: Time-fractional Allen–Cahn equation.
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