| Package | Description |
|---|---|
| dev.nm.analysis.differentialequation.pde.finitedifference.elliptic.dim2 |
| Class and Description |
|---|
| PoissonEquation2D
Poisson's equation is an elliptic PDE that takes the following general form.
\[
\frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2} = f(x, y)
\]
with Dirichlet boundary conditions:
\[
u(0, y) = g(0, y) \\
u(a, y) = g(a, y) \\
u(x, 0) = g(x, 0) \\
u(x, b) = g(x, b)
\]
assuming that the domain of the independent variables is a rectangular region in the x-y plane.
|
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