Consider the oe-dimensional wave equation u %3D u(0, t) = u(1, t) = 0 %3D u(x,0) = 3 sin(27r) du (x, 0) = x – r. Use CTCS scheme with Ar = 0.1, At = 0.05 to estimate the value of the displacement u(0.9,0.15).

icon
Related questions
Question
Consider the one-dimensional wave equation
Pu
u
0<<1, t20
u(0, t) = u(1, t) = 0
u(x, 0) = 3 sin(27x)
du
(x, 0) = x – x².
Use CTCS scheme with Ar = 0.1, At = 0,05 to estimate the value of the displacement u(0.9,0.15).
Transcribed Image Text:Consider the one-dimensional wave equation Pu u 0<<1, t20 u(0, t) = u(1, t) = 0 u(x, 0) = 3 sin(27x) du (x, 0) = x – x². Use CTCS scheme with Ar = 0.1, At = 0,05 to estimate the value of the displacement u(0.9,0.15).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer