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Use a cosine Fourier expansion, as u(x,1) = u,(t)+ 4,(1) cosnx, to solve du ô?u -= e' cos3x in (0,1)× (0,+0), ôt ôx? ди (0,t)= ди -(1,t)= 0,t> 0, (1) |u (х,0) %3 1— х,0

Use a cosine Fourier expansion, as u(x,1) = u,(t)+ 4,(1) cosnx, to solve du ô?u -= e' cos3x in (0,1)× (0,+0), ôt ôx? ди (0,t)= ди -(1,t)= 0,t> 0, (1) |u (х,0) %3 1— х,0

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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Use a cosine Fourier expansion, as u(x,1) = u,(t)+ 4,(1) cosnx, to solve du ô?u -= e' cos3x in (0,1)× (0,+0), ôt ôx? ди (0,t)= ди -(1,t)= 0,t> 0, (1) |u (х,0) %3 1— х,0<x<1.
Transcribed Image Text:Use a cosine Fourier expansion, as u(x,1) = u,(t)+ 4,(1) cosnx, to solve du ô?u -= e' cos3x in (0,1)× (0,+0), ôt ôx? ди (0,t)= ди -(1,t)= 0,t> 0, (1) |u (х,0) %3 1— х,0<x<1.
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