Basic HTML version of Foils prepared March 15 00

Foil 5 Boundary Conditions III

From Collection of Extra Foils for CPS615 PDE Iterative Solution Discussion CPS615 Spring Semester 00 -- March 00. by Geoffrey C. Fox
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
Boundary Equation Type | Curve | Conditions | Example
Hyperbolic | Open | Cauchy | Wave Equation
Parabolic | Open | Dirichlet | Diffusion Equation
or Neumann
Elliptic | Closed | Dirichlet | Poisson Equation
or Neumann

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