ode_moshier, a C code which solves systems of ordinary differential equations. Two main methods are implemented, the Adams-Bashforth-Moulton integrator, and the Runge-Kutta integrator, by Steven Moshier.


ode_moshier is available in a C version.

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rk4, a C code which applies the fourth order Runge-Kutta algorithm to estimate the solution of an ordinary differential equation (ODE) at the next time step.

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Steven Moshier


  1. Benku Thomas,
    The Runge-Kutta Methods,
    Volume 11, Number 4, April 1986, pages 191-192.
  2. Lawrence Shampine, Marilyn Gordon,
    Computer Solution of Ordinary Differential Equations: The Initial Value Problem,
    Freeman, 1975,
    ISBN: 0716704617,
    LC: QA372.S416.

Source Code:

Last revised on 21 July 2019.