Boundary-Value Problems in Other Coordinate Systems
Solve ∆u = 0 in a disk x^2 + y^2 ≤ 25, where u(5, θ) = 7 sin 3θ
− 6 sin 8θ and u is bounded when r = 0.
Solve ∆u = 0 in an annulus 1 ≤ x^2+y^2 ≤ 4, where u(1, θ) = 75
sin θ, u(2, θ) = 60 cos θ.
Find the steady-state temperature distribution in a disk of
radius 1 if the upper half of the circumference...