what is the general solution of the poisson equation :(adsbygoogle = window.adsbygoogle || []).push({});

∂^{2}A/∂r^{2}+ 1/r ∂A/∂r + 1/r^{2}∂^{2}A/∂θ^{2}= f(r,θ)

the function f(r,θ) is :

f(r,θ)=1/r (Ʃ X_{n}cos(nθ) + Y_{n}sin(nθ))

where the boundary is :

I(a<r<b, 0<θ<2pi)

the boundary condition is the netural boundary on (r=a) expressed as :

∂A/∂r=0 (r=a)

How can i find the A(r,θ)? i can not find any books related to this.

Most of them only consider laplace equation where f(r,θ)=0

someone help me.

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# Help with PDE in circular annulus(poisson eq)

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