Solve the two-way wave equation
Consider the two-way wave equation
$u_{tt} − u_{xx} = 0$
for $t ≥ 0$ and $x ≥ 0$ with initial data $u(x, 0) = u_0(x)$ and $u_t(x, 0) = 0$ for $x ≥ 0$ and boundary data $u_x(0, t) = 0$ for $t > 0$
Draw a diagram of the problem in the $x − t$ plane.
Solve the problem in terms of $u_0$. Describe the interaction of the left-moving wave with the $x = 0$ boundary (one sentence).
Chdogordon
153
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment
Martin
1.6K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 581 views
- $10.00
Related Questions
- Solve the two-way wave equation in terms of $u_0$
- Diffrential Equations
- Equipartition of energy in the wave equation
- Power series solution of Differential Equations
- Use the divergence theorem to derive Green's identity
- How to determine the stability of an ODE
- Optimisation Problem
- Dynamic Systems of Differential Equations