winstead@faraday.ECE.CMU.EDU (Charles Holden Winstead) (02/19/91)
I am looking for packages on the network which can solve the following partial differential equation. d d d - (T) - k* - - (T) = f(x)u(t) dt dx dx where u(t) is the unit step function and f(x) is a known forcing function. Alternatively, an analytical solution would be ideal (:-)), but I can't seem to get one. I can solve the homogeneous solution, which is a couple of erf functions, and I can solve d d - k* - - (T) = f(x) dx dx say the solution to this is g(x). I can do this. But once I add the u(t), I can't get a paticular solution. Any pointer to a solution or a package would be helpful, FORTRAN preferred. IMSL does this, but the machine I am working on doesn't have and can't afford IMSL. :-( . In case you're wondering, I get this equation by heating liquid metal with magnetic fields. This is the Temperature distribution, with f(x) coming from ohmic dissipation of the induced currents. Thanks -Charles Winstead Carnegie Mellon winstead@faraday.ece.cmu.edu