Question 4 Find the explicit finite difference solution of the wave equation utt - Uxx = 0, with the boundary conditions and the initial conditions 0 < x < 1, 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) = сosπx, u₁(x, 0) = 0, 0≤x≤1
Question 4 Find the explicit finite difference solution of the wave equation utt - Uxx = 0, with the boundary conditions and the initial conditions 0 < x < 1, 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) = сosπx, u₁(x, 0) = 0, 0≤x≤1
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f6f0b75-faa5-4e24-9fd1-44d066753fc1%2F3350ebca-beb2-476f-81b4-23c8e808f154%2Fywid66z_processed.png&w=3840&q=75)
Transcribed Image Text: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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