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*2.5.9. Solve Laplace's equation inside a 90° sector of a circular annulus (a

*2.5.9. Solve Laplace's equation inside a 90° sector of a circular annulus (a

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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*2.5.9. Solve Laplace's equation inside a 90° sector of a circular annulus (a <r< b, 0<<π/2) subject to the boundary conditions (a) u(r, 0) = 0, u(r, π/2) = 0, u(a, 0) = 0, u(b, 0) = f(0) (b) u(r, 0) = 0, u(r, π/2) = f(r), u(a, 0) = 0, u(b, 0) = 0
Transcribed Image Text:*2.5.9. Solve Laplace's equation inside a 90° sector of a circular annulus (a <r< b, 0<<π/2) subject to the boundary conditions (a) u(r, 0) = 0, u(r, π/2) = 0, u(a, 0) = 0, u(b, 0) = f(0) (b) u(r, 0) = 0, u(r, π/2) = f(r), u(a, 0) = 0, u(b, 0) = 0
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