Use a cosine Fourier expansion, as u(x,1) = u,(0) +E, (1) cosnx, to solve =e' cos2x in (0,1)×(0,+0), |ĉu (0,1)=( ex (1,1) = 0,1>0, (1) u(x,0) = x,0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use a cosine Fourier expansion, as
u(x,1) = u,(1)+E4,(1)cosnx,
to solve
=e' cos2x in (0,1)x(0,+0),
(1)
(0,1) =(1,1) = 0,1 >0,
u(x,0) = x,0 <x<1.
心さ
Transcribed Image Text:Use a cosine Fourier expansion, as u(x,1) = u,(1)+E4,(1)cosnx, to solve =e' cos2x in (0,1)x(0,+0), (1) (0,1) =(1,1) = 0,1 >0, u(x,0) = x,0 <x<1. 心さ
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