Page Break Solve numerically the Laplace's equation 2. Тop BС b Bottom BC 臺+- 2 Əx 2 ду' for the temperature distribution in the region shown in the figure with a = and b = 2 using a mesh step of h for both x- and y-direction. The boundary conditions (BC) are provided as Top BC: 3 1 T = x + 1, Bottom BC: T = x, Left BC: ƏT/əx = 0, Right BC: aT/ðx = 2. Right BC Left BC
Page Break Solve numerically the Laplace's equation 2. Тop BС b Bottom BC 臺+- 2 Əx 2 ду' for the temperature distribution in the region shown in the figure with a = and b = 2 using a mesh step of h for both x- and y-direction. The boundary conditions (BC) are provided as Top BC: 3 1 T = x + 1, Bottom BC: T = x, Left BC: ƏT/əx = 0, Right BC: aT/ðx = 2. Right BC Left BC
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:LTE+
6:19 A R &
29%
Page Break
2. Solve numerically the Laplace's
equation
Тop BC
Bottom BC
+
2
2
Əx
dy
ду'
for the temperature distribution in the
region shown in the figure with a = 3
and b = 2 using a mesh step of h =
for both x- and y-direction. The boundary
conditions (BC) are provided as Top BC:
Т 3 х + 1, Bottom BС: Т — х, Left
1
BC: ƏT/ðx = 0, Right BC: aT/ðx
0, Right BC: дТ /дх
= 2.
Left BC
Right BC
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