- #1
JI567
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Homework Statement
The question is to sketch for values of t = 0, t =0.25, t = 1, t=1.25 and t = 1.5 for the wave equation
Ytt = Yxx in the semi-infinite domain with initial conditions
y(x,0) = f(x) =
\begin{cases}
1 & \text{if } 0≤x≤1 \\
0 & otherwise
\end{cases}
Yt (x,0) = 0 and boundary condition of y(0,t) = 0
so I changed f(x) into D(x) where
D(x) =
\begin{cases}
1 & \text{if } 0≤x≤1 \\
-1 & \text{if } -1≤x≤0 \\
0 & otherwise
\end{cases}
Homework Equations
Y(x,t) = Φa(x,t) +Φb(x,t)
where Φa(x,t) = 1/2 D(x+t)
and Φb(x,t) = 1/2 D(x-t)
The Attempt at a Solution
These are the sketches. Can somebody please tell me if they are all correct for this question!