ode


ode, a Fortran77 code which solves a system of ordinary differential equations (ODE), by Shampine and Gordon.

Given a system of ordinary differential equations of the form

        Y' = F(T,Y)
        Y(T0) = Y0
      
this program produces a sequence of approximate solution values Y(TOUT) at later times TOUT.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

ode is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version.

Related Data and Programs:

ode_test

cwg_ode, a Fortran77 code which implements three ODE solvers by C William Gear.

DRIV, a Fortran77 code which solves real or complex systems of ordinary differential equations;

NMS, a Fortran77 code which includes the ddriv() package of ODE solvers.

ODEPACK, a Fortran77 code which contains nine ODE solvers, including LSODE, LSODES, LSODA, LSODAR, LSODPK, LSODKR, LSODI, LSOIBT, and LSODIS, by Alan Hindmarsh.

RK4, a Fortran77 code which applies the fourth order Runge-Kutta algorithm to estimate the solution of an ordinary differential equation at the next time step.

RKF45, a Fortran77 code which implements the Runge-Kutta-Fehlberg ODE solver.

TEST_ODE, a Fortran90 code which defines test problems for ODE solvers.

Author:

Original Fortran77 version by Lawrence Shampine, Marilyn Gordon. This version by John Burkardt.

Reference:

  1. 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 05 September 2023.