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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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(b) An elastic string which is fixed at both ends is governed by the wave equation a?u a?u 0 <x< 1, t> 0, əx? Where, u(x, t) is the displacement of the string. The initial conditions are given by
Transcribed Image Text:(b) An elastic string which is fixed at both ends is governed by the wave equation a?u a?u 0 <x< 1, t> 0, əx? Where, u(x, t) is the displacement of the string. The initial conditions are given by
0 < x< 0.5 u(x, 0) = {"x – 1) (x, l-(x – 1) 0.5 <x<1 ди (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.
Transcribed Image Text:0 < x< 0.5 u(x, 0) = {"x – 1) (x, l-(x – 1) 0.5 <x<1 ди (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.
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