Boundary Conditions III
General Equation is of form:
a ? 2? /? x2 + b ? 2? /? x? y + c ? 2? /? y2 = f(x,y,t)
b2 > 4ac Hyperbolic Equations
b2 = 4ac Parabolic Equations
b2 < 4ac Elliptic Equations
BoundaryEquation Type | Curve | Conditions | Example
Hyperbolic | Open | Cauchy | Wave Equation
Parabolic | Open | Dirichlet | Diffusion Equation
Elliptic | Closed | Dirichlet | Poisson Equation