Let u(x, y) be the harmonic function in the unit disk with the boundary values u(x,...

Let u(x, y) be the harmonic function in the unit disk with the boundary values u(x, y) = x^2 on {x^2 + y^2 = 1}. Find its Rayleigh–Ritz approximation of the form x^2 +C1*(1−x^2 −y^2).

Expert Solution

Colby Messinger answered 2 years ago

Find u(x,y) harmonic in S with given boundary values: S = {(x,y): 1 < y <...

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