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Laplacian in Cylindrical Coordinates (Definition)

The Laplacian operator in cylindrical coordinates is

$\displaystyle \nabla _{cyl}^{2} = \frac{1}{r} \frac{\partial}{\partial r}\left(... ...{1}{r^2} \frac{\partial^2}{\partial \theta^2} + \frac{\partial^2}{\partial z^2}$ (1)



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See Also: Laplacian, Laplacian in Spherical Coordinates, Laplacian in Cartesian Coordinates


Cross-references: operator, Laplacian
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This is version 3 of Laplacian in Cylindrical Coordinates, born on 2006-10-26, modified 2008-03-25.
Object id is 231, canonical name is LaplacianInCylindricalCoordinates.
Accessed 3357 times total.

Classification:
Physics Classification: 02. (Mathematical methods in physics)
 02.40.Dr (Euclidean and projective geometries)
Pending Errata and Addenda
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