The function U(x, y) satisfies the equation a²U_a?U + ax2 ' ay2 = -2, at every point inside the square: -1< x <1 & –1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The function U(x, y) satisfies the equation
a²U_a?U
+
ax2 ' ay2
= -2,
at every point inside the square: -1< x <1 & –1<y<1, and is zero on the
|
boundary.
(i).
Calculate a finite difference solution using a square mesh of side -.
Transcribed Image Text:The function U(x, y) satisfies the equation a²U_a?U + ax2 ' ay2 = -2, at every point inside the square: -1< x <1 & –1<y<1, and is zero on the | boundary. (i). Calculate a finite difference solution using a square mesh of side -.
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