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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 26PT: Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.
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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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