- #1
smoger
- 3
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what is the general solution of the poisson equation :
∂2A/∂r2 + 1/r ∂A/∂r + 1/r2 ∂2A/∂θ2 = f(r,θ)
the function f(r,θ) is :
f(r,θ)=1/r (Ʃ Xncos(nθ) + Ynsin(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.
∂2A/∂r2 + 1/r ∂A/∂r + 1/r2 ∂2A/∂θ2 = f(r,θ)
the function f(r,θ) is :
f(r,θ)=1/r (Ʃ Xncos(nθ) + Ynsin(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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