ぶちノート

数学とか物理とか好き。ゆっくりやっています。

偏微分方程式

Partial differential equations

  • Elliptic

Laplace equation

0 = \nabla ^2 u

  • Parabolic

\displaystyle \frac{\partial u}{\partial t} = \alpha \nabla ^2 u

Heat equation

  • Hyperbolic

\displaystyle \frac{\partial ^2 u}{\partial t ^2} = c ^2 \nabla ^2 u

Wave equation

This is amazing visualization.

(How about Laplace equation (elliptic)?)