Given the heat equation, ốt 00 with the boundary %3D conditions, u(0,t) = 0 and u(1,1)= 5 for t>0 and the initial condition, u(x,0) = 5x for 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given the heat equation,
0<x<1, t> 0 with the boundary
ôt ôx?
conditions, u(0,1) = 0 and u(1,t) =5 for t>0 and the initial condition,
u(x,0) = 5x for 0<xs1. Solve the heat equation by taking Ax =h=0.1 and
At = k = 0.0001 until t = 0.0002 by using the explicit finite-difference method.
Transcribed Image Text:Given the heat equation, 0<x<1, t> 0 with the boundary ôt ôx? conditions, u(0,1) = 0 and u(1,t) =5 for t>0 and the initial condition, u(x,0) = 5x for 0<xs1. Solve the heat equation by taking Ax =h=0.1 and At = k = 0.0001 until t = 0.0002 by using the explicit finite-difference method.
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