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
1 General Equation is of form:
2 a ? 2? /? x2 + b ? 2? /? x? y + c ? 2? /? y2 = f(x,y,t)
3 b2 > 4ac Hyperbolic Equations
4 b2 = 4ac Parabolic Equations
5 b2 < 4ac Elliptic Equations
6 Boundary Equation Type | Curve | Conditions | Example
7 Hyperbolic | Open | Cauchy | Wave Equation
8 Parabolic | Open | Dirichlet | Diffusion Equation
9 or Neumann
10 Elliptic | Closed | Dirichlet | Poisson Equation
11 or Neumann
in Table To:

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