We return to the Dirichlet problem (2.13) in the unit disc. By switching to polar coordinates we obtain for u = u(r, 0). 22 и Ər² + 1 ди + r ər u(1,0) = g(0), 1 8² u r2 მ02 =0, 0
We return to the Dirichlet problem (2.13) in the unit disc. By switching to polar coordinates we obtain for u = u(r, 0). 22 и Ər² + 1 ди + r ər u(1,0) = g(0), 1 8² u r2 მ02 =0, 0
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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Transcribed Image Text:We return to the Dirichlet problem (2.13) in the unit disc. By switching to
polar coordinates we obtain
[02
u
Ər²
for u = u(r,0).
+
1 ди
+
1 0² u
r² 00²
= 0, 0<r<1, −¬≤0<¬,
2,11
r Or
u(1,0)= g(0), −¬≤0<л,

Transcribed Image Text:Problem 1: Give a formula for the solution of the Dirichlet problem in Section 2.11
when g(t) = 1².
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