Can the symbolic toolbox Laplacian be used for other than cartesian coordinates?
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In potential theory and elasticity theory, the Laplacian operator often appears, and is applied in all separable (orthogonal)
coordinate systems. The Laplacian-squared (del-fourth) operator also appears in elasticity theory. I know that the
Symbolic Toolbox Laplacian can be applied in cartesian coordinates (and that symbolic divergence, gradient, and
curl operators exist) but how about for other orthogonal coordinate systems such as polar, cylindrical,
spherical, elliptical, etc.? How about for the Laplacian-squared operator - has anyone tackled this even for
Tanmay Das on 20 Oct 2021
In the current scenario, I suppose there are no functions for Polar or cylindrical Laplacian. However, the developers are aware of this case. Meanwhile, you can try converting other coordinate systems into cartesian coordinate system and then use laplacian function if that is possible.