What are the Wolfram Mathematica NDSolve function methods? I know that in Wolfram Mathematica I can specify solving method in NDSolve function, but I can't find a full list of available methods in documentation.
2026-03-28 23:55:52.1774742152
What are the Wolfram Mathematica NDSolve function methods?
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These are some of the methods:
"Adams"- predictor-corrector Adams method with orders 1 through 12"BDF"- Gear implicit backward differentiation formulas with orders 1 through 5"ExplicitRungeKutta"- adaptive embedded pairs of 2(1) through 9(8) Runge-Kutta methods"ImplicitRungeKutta"- families of arbitrary-order implicit Runge-Kutta methods"SymplecticPartitionedRungeKutta"- interleaved Runge-Kutta methods for separable Hamiltonian systems"MethodOfLines"- method of lines for solution of PDEs"Extrapolation"- (Gragg-)Bulirsch-Stoer extrapolation method, with possible submethods"ExplicitEuler"- forward Euler method"ExplicitMidpoint"- midpoint rule method"ExplicitModifiedMidpoint"- midpoint rule method with Gragg smoothing"LinearlyImplicitEuler"- linearly implicit Euler method"LinearlyImplicitMidpoint"- linearly implicit midpoint rule method"LinearlyImplicitModifiedMidpoint"- linearly implicit Bader-smoothed midpoint rule method"DoubleStep"- "baby" version of"Extrapolation""LocallyExact"- numerical approximation to locally exact symbolic solution"StiffnessSwitching"- allows switching between nonstiff and stiff methods in the middle of the integration"Projection"- invariant-preserving method"OrthogonalProjection"- method that preserves orthonormality of solutions"IDA"- general purpose solver for the initial value problem for systems of differential-algebraic equations (DAEs)"Shooting"- shooting method for BVPs"Chasing"- Gelfand-Lokutsiyevskii chasing method for BVPs"EventLocator"- event location for detecting discontinuities, periods, etc.