I'm wondering if anyone can just run through how this is done. I have the solution so that's now the problem. I just need someone to provide me with the method of finding the steady solution (I can find the transient no problem).(adsbygoogle = window.adsbygoogle || []).push({});

A slender homogeneous conducting bar of uniform cross section lies along the x-axis with ends at x = 0 and x = 1. The lateral surface of the bar radiates heat into the surroundings at temperature zero. The left end is insulated and heat is added through the right end. The initial temperature distributions is u(x,0) = f(x).

Okay so the PDE we have here is:

[tex]u_t = \alpha^2u_{xx} - u[/tex]

[tex]u_x(0,t) = 0[/tex]

[tex]u_x(1,t) = q[/tex]

[tex]u(x,0) = f(x)[/tex]

And to find the steady solution I do the usual tricks. I know how to get it I just want someone to explain a bit. Thanks.

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Homework Help: PDE Question:

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