ng which is fixed at both ends is governed by t ²u ²u 0≤x≤ 1, t≥0, at² ax² is the displacement of the string. The initial c
ng which is fixed at both ends is governed by t ²u ²u 0≤x≤ 1, t≥0, at² ax² is the displacement of the string. The initial c
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Transcribed Image Text:0sxs 0.5
ди
u(x,0) =
1-(x – 1) 0.5 <x<1
ar (x, 0) = 0, 0 <x<1
Determine the variation of the displacement of the string by using the finite-
difference method for 0 <t < 0.3 s using Ax = 0.25 mm and At = 0.1 s.
Transcribed Image Text:(Ь)
An elastic string which is fixed at both ends is governed by the wave equation
a?u a?u
0sx<1, t2 0,
Where, u(x, t) is the displacement of the string. The initial conditions are given by
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