Mathematica 9 is now available
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Coordinate Systems >
Vector Analysis Package SymbolTutorials »|See Also »|More About »

Biharmonic

Biharmonic[f]
gives the biharmonic, Del4f, 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, Del4fCongruent(Del2)2f.
EXAMPLESCLOSE ALL
Basic Examples   (2)
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]=
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team