Find the explicit finite difference solution of the wave equationUttUxx =0,0 < x < 1,t > 0,-with the boundary conditionsи (0, t) 3D и (1,t) 3D 0,t > 0,and the initial conditionsи (х,0) — sin тх,и (х,0) — 0,0

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Find the explicit finite difference solution of the wave equation Utt 0 < x < 1, t > 0, - with the boundary conditions u (0, t) = u (1, t) = 0, t>0, and the initial conditions и (х,0) — sin тх, и (х,0) — 0, 0

Find the explicit finite difference solution of the wave equation Utt 0 < x < 1, t > 0, - with the boundary conditions u (0, t) = u (1, t) = 0, t>0, and the initial conditions и (х,0) — sin тх, и (х,0) — 0, 0

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

Find the explicit finite difference solution of the wave equation
Utt
Uxx =
0,
0 < x < 1,
t > 0,
-
with the boundary conditions
и (0, t) 3D и (1,t) 3D 0,
t > 0,
and the initial conditions
и (х,0) — sin тх,
и (х,0) — 0,
0 <x < 1.
Calculate the location of the wave equation at point u1, 1. Use Ax = At = 0.1.
%3D
Select one:
а.
0.691
b. 0.424
С.
0.293
d. 0.816

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