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Walter A . Strauss- Partial Differential Equations (2nd Edition) Chapter 7.1, Problem 10E Let u(x，y) be...

Walter A . Strauss- Partial Differential Equations (2nd Edition)

Chapter 7.1, Problem 10E

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

values u(x， y) = x^2 on {x^2 + y^2 = 1}. Find the Rayleigh-Ritz approximation of the

form, w0 + c1w1 = x^2 + c1(1 - x^2 - y^2).

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