NDSolve's mode of operation?
I use it to solve partial differential equations and never gave it too much thought. Recently, I came across this question. Accordingly, I used
Trace[...] and realized that my 4th order, non linear partial differential equation was solved using an
Further digging revealed that
LSODA is a method for ORDINARY DIFF EQS which chooses between
BDF methods to solve the problem.
So... how in the first place did
NDSolve convert my PDE to an ODE?
Any references would be useful.