Hi, so the problem is this:(adsbygoogle = window.adsbygoogle || []).push({});

I am trying to solve (analytically) the wave equation with c=1:

[tex]u_{xx}=u_{tt}[/tex]

on x,t>0 given the initial conditions

[tex]u(x,0)=u_{t}(x,0)=0, u(0,t)=sin(wt)[/tex]

I know how to solve on semi-infinite domains for quite a few cases using Green's Functions, Fourier Transforms, D'Alembert's solution and separation of variables. But I keep getting u=0 with these familiar methods due to the initial conditions of u being 0 and unmoving at t=0.

I feel like this is easier than I'm making it! Anyway, any help would be appreciated!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Solving the Wave Equation in semi-infinite domain with easy ICs

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**