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Concluding remarks and FAQs > About Simulink numerical solver methods > Implicit or explicit Simulink solver (stiff or non-stiff systems)

Non-stiff systems

Explicit continuous variable-step solvers are especially designed for non-stiff systems. In Simulink, you can choose among ode45, ode23 or ode113.

  • Usually the best compromise is ode45.

  • At crude error tolerances and/or in presence of mild stiffness ode23 can be preferable.

  • With stringent error tolerances or for computationally intensive problems, ode113 can be chosen.

Note

If ode45 fails or is highly inefficient, it can mean that the problem is stiff and thus in need of an implicit solver.

Source: https://docs.sw.siemens.com/en-US/doc/254352342/PL20250521841123434.amesim_collection.Simulink/Nonstiff_systems · retrieved 2026-07-17