# How can I solve the equation of curvature on PDE Toolbox?

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Sarojeet Deb on 25 Oct 2017
The equation is ∇n̂=2*curvature, Curvature is a constant
n̂ = ∇f/∥∇f∥ (Unit normal)
Here f is f(x,y)
I made the geometry in PDE Toolbox, meshed it and inputted the values in PDE Toolbox. But I am unable to input ∥∇f∥. I want to be ||∇f||= sqrt(x^2+y^2+u^2)

Precise Simulation on 26 Oct 2017
Edited: Precise Simulation on 29 Oct 2017
∥∇f∥ should typically be sqrt(fx^2+fy^2+eps) where eps is a small constant to avoid divisions by zeros (since ∥∇f∥ is in the denominator). As this look like a Hamilton-Jacobi distance function problem another approach would be to transform the equation to a time dependent one, which should be somewhat easier to solve.
Sarojeet Deb on 30 Oct 2017
Precise Simulation on 31 Oct 2017
Yes, if your function 'f' is labelled 'u' in the pde implementation.

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