PDE (편미분 방정식)

지반공학을 위한 수치해석, 정말 쉽게 한번 접근해 보자.

보면 볼수록 어려워지는 Partial Differential Equation 요점 정리 해본다.

Elliptical PDE: Steady seepage / Elasticity

Ellipse

Ex) Laplace equation

Related to Harmonic function
To be updated.

Ex) Poisson's equation

related to Green's function: Gn(r)


Ex) Helmhotz equation

Special case of Poisson's equation.

related to Bessel function in Separation of Variables (변수분리법)

Parabolic PDE: Consolidation / Heat / Diffusion

Parabola

Ex) Heat equation

To be updated.

Hyperbolic PDE: Wave propagation

Hyperbola

Ex) Wave equation

To be updated.