Solve the heat equation u, = 0.2u on a digital computer using the Crank-Nicolson scheme. for the initial condition and boundary conditions TABLE P4.1 Case 1 2 3 4 5 Number of Grid Points 11 11 16 11 11 u(x,0)= 100 sin JA L 0.25 0.50 0.50 1.00 2.00 L=1 u(0,1)= u(L,t)=0 Compute to t = 0.5 using the parameters in Table P4.1 (if possible) and compare graphically with the exact solution.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Solve the heat equation u, = 0.2u on a digital computer using
XX
the Crank-Nicolson scheme.
for the initial condition
and boundary conditions
TABLE P4.1
Case
1
2
3
4
5
Number of
Grid Points
11
11
16
11
11
(x,0) = 100 sin
TX
L
0.25
0.50
0.50
1.00
2.00
L = 1
u(0,t) = u(L,t) = 0
Compute to t = 0.5 using the parameters in Table P4.1 (if possible) and compare graphically
with the exact solution.
Transcribed Image Text:Solve the heat equation u, = 0.2u on a digital computer using XX the Crank-Nicolson scheme. for the initial condition and boundary conditions TABLE P4.1 Case 1 2 3 4 5 Number of Grid Points 11 11 16 11 11 (x,0) = 100 sin TX L 0.25 0.50 0.50 1.00 2.00 L = 1 u(0,t) = u(L,t) = 0 Compute to t = 0.5 using the parameters in Table P4.1 (if possible) and compare graphically with the exact solution.
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