| Package | Description |
|---|---|
| dev.nm.analysis.differentialequation.pde.finitedifference.elliptic.dim2 | |
| dev.nm.analysis.differentialequation.pde.finitedifference.hyperbolic.dim1 | |
| dev.nm.analysis.differentialequation.pde.finitedifference.hyperbolic.dim2 | |
| dev.nm.analysis.differentialequation.pde.finitedifference.parabolic.dim1.convectiondiffusionequation | |
| dev.nm.analysis.differentialequation.pde.finitedifference.parabolic.dim1.heatequation |
One-dimensional heat/diffusion problems with explicit initial and boundary data.
|
| dev.nm.analysis.differentialequation.pde.finitedifference.parabolic.dim2 |
| Modifier and Type | Class and Description |
|---|---|
class |
IterativeCentralDifference
An iterative central difference algorithm to obtain a numerical approximation to Poisson's
equations with Dirichlet boundary conditions.
|
| Modifier and Type | Class and Description |
|---|---|
class |
ExplicitCentralDifference1D
This explicit central difference method is a numerical technique for solving
the one-dimensional wave equation by the following explicit
three-point central difference equation.
\[
\frac{u^{k+1}_j - 2u^k_j + u^{k-1}_j}{\Delta t^2}
= \beta \frac{u^{k}_{j+1} - 2u^k_j + u^{k}_{j-1}}{\Delta x^2}
\]
where \(u^k_j = u(t_k, x_j)\) is the estimate at \((k, j)\) in the grid.
|
| Modifier and Type | Class and Description |
|---|---|
class |
ExplicitCentralDifference2D
This explicit central difference method is a numerical technique for solving
the two-dimensional wave equation by the following explicit
three-point central difference equation.
\[
\frac{u^{k+1}_{ij} - 2u^k_{ij} + u^{k-1}_{ij}}{\Delta t^2}
= \beta \left( \frac{u^{k}_{i+1,j} - 2u^k_{ij} + u^{k}_{i-1,j}}{\Delta x^2}
+ \frac{u^{k}_{i,j+1} - 2u^k_{ij} + u^{k}_{i,j-1}}{\Delta y^2}
\right)
\]
where \(u^k_{ij} = u(t_k,x_i,y_j)\) is the estimate at \((k, i, j)\) in the grid.
|
| Modifier and Type | Class and Description |
|---|---|
class |
CrankNicolsonConvectionDiffusionEquation1D
This class uses the Crank-Nicolson scheme to obtain a numerical solution of a
one-dimensional convection-diffusion PDE.
|
| Modifier and Type | Class and Description |
|---|---|
class |
CrankNicolsonHeatEquation1D
The Crank-Nicolson method is an algorithm for obtaining a numerical solution
to parabolic PDE problems.
|
| Modifier and Type | Class and Description |
|---|---|
class |
AlternatingDirectionImplicitMethod
Alternating direction implicit (ADI) method is an implicit method for obtaining numerical
approximations to the solution of a
HeatEquation2D. |
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