Laplacian

As of version 9.0, vector analysis functionality is built into Mathematica

Laplacian[f]
gives the Laplacian, , of the scalar function or vector field f in the default coordinate system.


gives the Laplacian of f in the coordinate system coordsys.

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Basic Examples (3)Basic Examples (3)

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Laplacian of a function in Cartesian coordinates:

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Verify that a function is harmonic:

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Expression for the Laplacian in cylindrical coordinates:

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