Answered: Question 4 Find the explicit finite… | bartleby

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 4
Find the explicit finite difference solution of the wave equation
utt - Uxx = 0,
0 < x < 1,
with the boundary conditions
and the initial conditions
u(0, t) = u(1, t) = 0,
t> 0
u₁,1 and u₁, 2. Use Ax=0.25, At = 0.1
t≥ 0
u(x,0) = соsлx, u₁(x,0) = 0, 0≤x≤1

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