Finding the exact numerical method used by mathematica to solve a differential equation

Asked Oct 19 '23 at 06:24

Active Oct 19 '23 at 06:24

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Let's say I have a 1st order differential equation with a known initial boundary condition. If I want to solve it in Mathematica, I know that I need to use NDSolve, for example:

s = NDSolve[{y'[x] == y[x] Cos[x + y[x]], y[0] == 1}, y, {x, 0, 30}]

However, is there any command available that will show me the exact numerical method Mathematica is using to solve the equation? Thanks in advance.

asked Oct 19 '23 at 06:24

Arghya Datta

4

tracing shows it seems to have used NDSolve`LSODA. This is described in here You can always ofcourse tell NDSolve which method you want it to user otherwise. see also NDSolveDesign and how-to-set-the-ndsolve-method-to-lsoda To trace NDSolve, do Trace[NDSolve[......],TraceInternal->True] – Nasser Oct 19 '23 at 06:36

Finding the exact numerical method used by mathematica to solve a differential equation

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