2. Solve the mixed boundary value problem for the Poisson equation V²u = 2(x² + y²) in the region and for the boundary conditions shown in Fig. 462, using the indicated grid.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
u = 0
y
3
2
1
0
0
P
P
12
11
2
u = 9x²
P
22
P
21
2
3
-u.
8
x
1
u = 0
Fig. 462. Problems 2 and 6
= 6y²
=
Transcribed Image Text:u = 0 y 3 2 1 0 0 P P 12 11 2 u = 9x² P 22 P 21 2 3 -u. 8 x 1 u = 0 Fig. 462. Problems 2 and 6 = 6y² =
2. Solve the mixed boundary value problem for the
Poisson equation V²u = 2(x² + y²) in the region and
for the boundary conditions shown in Fig. 462, using
the indicated grid.
Transcribed Image Text:2. Solve the mixed boundary value problem for the Poisson equation V²u = 2(x² + y²) in the region and for the boundary conditions shown in Fig. 462, using the indicated grid.
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