Recent content by Groundwater

Thanks...I think I am a bit out of my league here. I once took an introductory course in ODE that introduced me to Laplace transforms. I have slowly figured out how to apply the technique in the solution of PDE. However, at my level, I am doing well if I can solve a solution using tabulated...

Hi all I have been working on some unique solutions to advection-diffusion type problems. One inverse Laplace transform that I seem to continue to encounter is the following: Inverse Laplace[F(s)] where F(s)=[(1/(((s-α)^2)+β)*exp(-x*sqrt(s/D))] In their classic 1959 text, Carslaw...