Defines the right side of a partial differential equation and its coefficients. You must manually select the polymorphic instance to use.


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Helmholtz Equation

The following equation defines the Helmholtz equation:

where k and a are constant coefficients, u is the unknown function, and f is the right side of the equation. The operator is the Laplacian. The Laplacian in Cartesian coordinates is defined as

in two-dimensional space and

in three-dimensional space.

Heat Equation

The following equation defines the general form of the heat equation:

Wave Equation

The following equation defines the general form of the wave equation:

Examples

Refer to the following example files included with LabVIEW.

  • labview\examples\Mathematics\Differential Equations - PDE\PDE Flexible Element.vi
  • labview\examples\Mathematics\Differential Equations - PDE\PDE String Vibration.vi
  • labview\examples\Mathematics\Differential Equations - PDE\PDE Thermal Distribution.vi