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.
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
Problem 1RQ
Related questions
Question
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
=
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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