Solution of Laplace equation for a regular hexagon

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Vikas Manhotra
Vikas Manhotra am 18 Nov. 2014
Beantwortet: Torsten am 18 Nov. 2014
I am trying to solve Laplace equation in a regular hexagon. My equation is ∇2ϕ=0 and boundary conditions are :
ϕ=0 (at the base of hexagon)
ϕ=ϕ1;
ϕ=ϕ2;
ϕ=ϕ3;
ϕ=ϕ4;
ϕ=ϕ5 (the above five boundary conditions are for the remaining 5 sides.)
Now, I don't have any analytical solution for this problem. Is this solvable in MATLAB by any means. I am completely confused and don't know how to proceed.
Thanks

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Torsten
Torsten am 18 Nov. 2014

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