Symbolic Laplacian of symbolic expression.
The Laplacian of a scalar expression f is the scalar expression:
syms f(x, y, z)
laplacian(f)
⇒ (sym)
2 2 2
∂ ∂ ∂
───(f(x, y, z)) + ───(f(x, y, z)) + ───(f(x, y, z))
2 2 2
∂x ∂y ∂z
x can be a scalar, vector or cell list. If omitted,
it is determined using symvar.
Example:
syms x y laplacian(x^3 + 5*y^2) ⇒ (sym) 6⋅x + 10
Note: assumes x is a Cartesian coordinate system.
See also: @sym/divergence, @sym/gradient, @sym/curl, @sym/jacobian, @sym/hessian.
Package: symbolic