Consider the following partial differential equation du du at dx² u(0,1)=2, u(1,1)=5 for 120, u(x,0)=x², for 0

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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(c)
Consider the following partial differential equation
du d'u
=
dt dx²
u(0,1)=2, u(1,1)=5 for 120,
u(x,0)=x², for 0<x<1
Use Ax = 0.25, At = 0.05 and Crank-Nicolson method, estimate u(0.75,0.05).
Transcribed Image Text:(c) Consider the following partial differential equation du d'u = dt dx² u(0,1)=2, u(1,1)=5 for 120, u(x,0)=x², for 0<x<1 Use Ax = 0.25, At = 0.05 and Crank-Nicolson method, estimate u(0.75,0.05).
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