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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 26E

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Question

(b)
An elastic string which is fixed at both ends is governed by the wave equation
a?u
a²u
at2
Əx2
0<x< 1, t> 0,
Where, u(x, t) is the displacement of the string. The initial conditions are given by
0<x< 0.5
Sx,
u(x,0) = {-(x – 1) 0.5<x <1
ди
at
(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.

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