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Biharmonic

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

gives the biharmonic of f in the coordinate system coordsys.
  • The biharmonic of f is the Laplacian of the Laplacian of f, .
Biharmonic of a function in the default Cartesian coordinate system:
Expression for the biharmonic in cylindrical coordinates:
Needs["VectorAnalysis`"]
Biharmonic of a function in the default Cartesian coordinate system:
In[2]:=
Click for copyable input
Out[2]=
 
Needs["VectorAnalysis`"]
Expression for the biharmonic in cylindrical coordinates:
In[2]:=
Click for copyable input
Out[2]=