Consider the Laplace equation =D0, where 0 < x < 8 and %3D dy? 0 < y < 8. dx2 Given boundary conditions u(x,0) = -4, u(0, y) = 7 - y, u(8, y) = 8 + y and u(x, 8) = 8x. If step size is Ax = Ay = 4, then u(4, 4) =.....

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the Laplace equation
+
dy
= 0, where 0 < x < 8 and
%3D
dx2
0 <y < 8.
Given boundary conditions u(x, 0) = -4,
u(0, y) = 7 - y, u(8, y) = 8 + y and
u(x, 8) = 8x.
%3D
%3D
If step size is Ax =
Ay = 4, then
%3D
u(4, 4) =.
Select one:
43
A.
4
33
В.
4
45
C.
Transcribed Image Text:Consider the Laplace equation + dy = 0, where 0 < x < 8 and %3D dx2 0 <y < 8. Given boundary conditions u(x, 0) = -4, u(0, y) = 7 - y, u(8, y) = 8 + y and u(x, 8) = 8x. %3D %3D If step size is Ax = Ay = 4, then %3D u(4, 4) =. Select one: 43 A. 4 33 В. 4 45 C.
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