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Take the problem PDE: e-9u BC: u(0,t) = u(8,t) =0 IC: u(z,0) = z(8 - z), 0 0 %3D ue(z,0) = 0 Use the D'Alembert solution (remember to make the function odd and periodic) to find (1,0.01) - u(1, 100)= u(0.5, 10)= 6.9991 89993 -896.25 u(4, 10) 884

Take the problem PDE: e-9u BC: u(0,t) = u(8,t) =0 IC: u(z,0) = z(8 - z), 0 0 %3D ue(z,0) = 0 Use the D'Alembert solution (remember to make the function odd and periodic) to find (1,0.01) - u(1, 100)= u(0.5, 10)= 6.9991 89993 -896.25 u(4, 10) 884

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Take the problem PDE: 0<z< 8, t> 0 ttt = 9uga BC: u(0, t) = u(8,t) = 0 IC: u(z,0) = z(8 - a), u(z,0) = 0 Use the D'Alembert solution (remember to make the function odd and perlodic) to find u(1,0.01) 6.9991 tu(1, 100) =89993 u(0.5, 10) = 896.25 u(4, 10) 884 %3D heip (numbers)
Transcribed Image Text:Take the problem PDE: 0<z< 8, t> 0 ttt = 9uga BC: u(0, t) = u(8,t) = 0 IC: u(z,0) = z(8 - a), u(z,0) = 0 Use the D'Alembert solution (remember to make the function odd and perlodic) to find u(1,0.01) 6.9991 tu(1, 100) =89993 u(0.5, 10) = 896.25 u(4, 10) 884 %3D heip (numbers)
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