VectorAnalysis`
VectorAnalysis`

Biharmonic

As of Version 9.0, vector analysis functionality is built into the Wolfram Language »

Biharmonic[f]

gives the biharmonic, , of the scalar function f in the default coordinate system.

Biharmonic[f,coordsys]

gives the biharmonic of f in the coordinate system coordsys.

Details

  • To use Biharmonic, you first need to load the Vector Analysis Package using Needs["VectorAnalysis`"].
  • The biharmonic of f is the Laplacian of the Laplacian of f, .

Examples

Basic Examples  (2)

Biharmonic of a function in the default Cartesian coordinate system:

Expression for the biharmonic in cylindrical coordinates: