0 Find the explicit finite difference solution of the wave equation utt -uxx =0, 00, along with the following initial and boundary conditions: u(x,0)=sin(x), ut(x,0) = 0, 0 ≤ x ≤ 1, u(0,t)=0, u(1,t)=0, t≥0 By Laplace transform

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the explicit finite difference solution
of the wave equation
utt -uxx =0, 0<x<1, t>0, along with
the following initial and boundary
conditions:
u(x,0)=sin(x), ut(x,0) = 0, 0 ≤ x ≤ 1,
u(0,t)=0, u(1,t)=0, t≥0
By Laplace transform
Transcribed Image Text:0 Find the explicit finite difference solution of the wave equation utt -uxx =0, 0<x<1, t>0, along with the following initial and boundary conditions: u(x,0)=sin(x), ut(x,0) = 0, 0 ≤ x ≤ 1, u(0,t)=0, u(1,t)=0, t≥0 By Laplace transform
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