Can anyone help with the solution of the Laplace equation in cylindrical coordinates(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{\partial^{2} p}{\partial r^{2}}[/tex] [tex]+[/tex] [tex]\frac{1}{r}[/tex] [tex]\frac{\partial p}{\partial r}[/tex] [tex]+[/tex] [tex]\frac{\partial^{2} p}{\partial z^{2}}[/tex] [tex]= 0 [/tex]

with Neumann no-flux boundaries:

[tex]\frac{\partial p}{\partial r}[/tex] [tex]\left(0,z\right)[/tex] [tex] = 0[/tex]

[tex]\frac{\partial p}{\partial r}[/tex] [tex]\left(Rmax,z\right)[/tex] [tex] = 0[/tex]

[tex]\frac{\partial p}{\partial z}[/tex] [tex]\left(r,Zmax\right)[/tex] [tex] = 0[/tex]

and a Dirichlet upper boundary:

[tex]p(r,0) = f(r)[/tex]

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# Laplace equation in cylindrical coordinates

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