Solve the following elliptic partial differential equation with finite difference method for the given boundary conditions. Take Ax = 0.2 and Ay = 0.3. a² f əx² a² f + = 0 дуг f=1 y W=0.6 f=12 L=0.8 f=2 f=7 X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Solve the following elliptic partial differential equation with finite difference method for
the given boundary conditions. Take △x = 0.2 and Ay = 0.3.
825 a2
+ = 0
ay2
ax2
f=1
y
W=0.6
f=12
L=0.8
f=2
f=7
Transcribed Image Text:Solve the following elliptic partial differential equation with finite difference method for the given boundary conditions. Take △x = 0.2 and Ay = 0.3. 825 a2 + = 0 ay2 ax2 f=1 y W=0.6 f=12 L=0.8 f=2 f=7
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