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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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Question

Approximate the solution to the wave equation:
1 ô’u
(x,t)
167 ôx?
(x,t)=D0 for 0 <x<0.5 and t>0
ôt?
u(0,t) = u(0.5,t)= 0 for t>0
subject to {u(x,0)= 0 for 0<x<0.5
ди
(x,0)= sin 470x for 0<x<0.5
ốt
using the Finite-Difference Method with h
u(x,t) = sin(t) sin(4nx) at t = 0.5.
k = 0.125 and compare your results to the actual solution

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