As far as I can see, though, the solutions all depend on knowing what f(x,t) is. In my case, I can't express it as a function. Is there any easy way to solve this?
Thanks for all your help!
Thanks jambaugh.
I've actually modified the equation to include an advective part by making x = (x+vt). However, what I want to do is change N to be a function of time. This may require a different equation because as soon as I do that, it doesn't satisfy the diffusion equation anymore I...
Hi,
I have seen the solution to the diffusion equation written as C=(N/sqrt(4PiDt))exp(-x^2/4Dt). Hoever, as I understand it, this is for an instant input of N material. I want to express the concentration of substance at a point x away from the source for an arbitrary input signal. Is there...