ODE
Shampine and Gordon ODE Solver


ODE, a C library which solves a system of ordinary differential equations, 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 computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

ODE is available in a C version and a C++ version and a FORTRAN90 version..

Related Data and Programs:

ode_test

ODE_MOSHIER, a C library which implements the Adams-Bashforth-Moulton and Runge-Kutta (RK) methods of solving systems of ordinary differential equations, by Steven Moshier.

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

RKF45, a C library which implements the Runge-Kutta-Fehlberg ODE solver.

Author:

Original FORTRAN77 version by Lawrence Shampine, Marilyn Gordon. This C 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 21 July 2019.