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Biharmonic

Biharmonic[f]
gives the biharmonic, 4f, of the scalar function f in the default coordinate system.
Biharmonic[f, coordsys]
gives the biharmonic of f in the coordinate system coordsys.
  • The biharmonic of f is the Laplacian of the Laplacian of f, 4f(2)2f.
Needs["VectorAnalysis`"]
Biharmonic of a function in the default Cartesian coordinate system:
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Needs["VectorAnalysis`"]
Expression for the biharmonic in cylindrical coordinates:
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