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An elastic string which is fixed at both ends is governed by the wave equation a²u a?u 0 0, at2 əx² Where, u(x, t) is the displacement of the string. The initial conditions are given by 3 0

An elastic string which is fixed at both ends is governed by the wave equation a²u a?u 0 0, at2 əx² Where, u(x, t) is the displacement of the string. The initial conditions are given by 3 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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(b) An elastic string which is fixed at both ends is governed by the wave equation a²u a?u at2 əx² 0<x< 1, t> 0, Where, u(x, t) is the displacement of the string. The initial conditions are given by 3 0 <x< 0.5 ди u(x,0) = (x, l-(x – 1) 0.5 <x<1 (x, 0) = 0, 0<x<1 at 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. Activate Window
Transcribed Image Text:(b) An elastic string which is fixed at both ends is governed by the wave equation a²u a?u at2 əx² 0<x< 1, t> 0, Where, u(x, t) is the displacement of the string. The initial conditions are given by 3 0 <x< 0.5 ди u(x,0) = (x, l-(x – 1) 0.5 <x<1 (x, 0) = 0, 0<x<1 at 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. Activate Window
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