What is 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 LSODA
method.
Further digging revealed that LSODA
is a method for ORDINARY DIFF EQS which chooses between Adams
and 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.
LSODA
method by default if themethod
of solution option inNDSolve[..]
is set toAutomatic
, and I don't just mean for stiff equations. Please do leave a comment with your thoughts. $\endgroup$ – dearN Mar 22 '12 at 20:08