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Functions
Laplacian
Laplacian
Available
Laplacian of a scalar field.
Forms
Laplacian[f, {x1, …, xn}]
Laplacian[f, {x1, …, xn}, chart]
Verified examples
Laplacian[x^2 + y^2, {x, y}] → 4
Laplacian[Log[r], {r, t}, "Polar"] → 0
Laplacian[r^3, {r, t, p}, "Spherical"] → 12*r
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Topics
Calculus
- Vector Calculus »
Differential Equations
- Partial Differential Equations »
Differential Operators
- General
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- Vector Calculus »
PDE Modeling And Analysis
- Boundary Conditions
Related
Grad
Div
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D
DSolve
NDSolve
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NDEigensystem
DEigenvalues
NDEigenvalues
DSolveValue
← LaplaceTransform
LaplacianFilter →
All 6300 functions
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