Recent content by alexrao

Thanks again. Arildno, you mentioned that the A_{n}'s are the required coefficients. But if I want to define a pressure distribution in this cylinder, don't I also need to figure out \lambda? And is it true that \lambda in P(r) and \lambda in Q(z) are not the same?

Moving along here... So the solution to (**): Q(z) = Acosh(\lambda z)+Bsinh(\lambda z) As Arildno predicted, the solution to (*) is more problematic, since this is my first experience with Bessel functions. Here's where I am so far... P(r) = CJ_{0}(\lambda r)+DY_{0}(\lambda r)...

Thanks for getting me started, and pardon the ignorance of this geochemist who hasn't taken a pde class. I'm trying to follow you, and can't understand how you got that 2nd ode. Shouldn't (**) be Q''(z) = -C Q(z) ?

Can anyone help with the solution of the Laplace equation in cylindrical coordinates \frac{\partial^{2} p}{\partial r^{2}} + \frac{1}{r} \frac{\partial p}{\partial r} + \frac{\partial^{2} p}{\partial z^{2}} = 0 with Neumann no-flux boundaries: \frac{\partial p}{\partial r}...