pde_elliptic (MathScript RT Module Function)
Owning Class: pde
Requires: MathScript RT Module
Syntax
z = pde_elliptic(top, right, bottom, left, function, range, n)
Legacy Name: pdeelliptic
Description
Uses four boundary conditions and a defining function to solve a Poisson equation over a square.
Inputs
| Name | Description |
|---|---|
| top | Specifies the top boundary condition. top is a string that represents a 1D function of one variable. |
| right | Specifies the right boundary condition. right is a string that represents a 1D function of one variable. |
| bottom | Specifies the bottom boundary condition. bottom is a string that represents a 1D function of one variable. |
| left | Specifies the left boundary condition. left is a string that represents a 1D function of one variable. |
| function | Specifies a function that defines the heat equation. function is defined over the entire square and depends on two variables. function is a string that represents a 2D function. |
| range | Specifies the location of the square. range is a two-element vector [a, b] where a and b are real numbers and a must be less than b. |
| n | Specifies the number of grid-points for each of the two axes. |
Outputs
| Name | Description |
|---|---|
| z | Returns a matrix of real numbers that approximates the solution of the PDE for all grid points. |
Details
This function is not supported in the LabVIEW Run-Time Engine. Do not use this function in a stand-alone application or shared library.
Examples
Z = pde_elliptic('sin(pi*x)', '0', 'sin(2*pi*x)', '0', '10*cos(s)+t^2', [0, 2], 256);
contouris(Z)