ode

ode, a C++ 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
      

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

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

Related Data and Programs:

ode_test

RK4, a C++ 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 C++ code which implements the Runge-Kutta-Fehlberg ODE solver.

Author:

Original Fortran77 code by Lawrence Shampine, Marilyn Gordon. 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:

• ode.cpp, the source code.
• ode.sh, compiles the source code.
• ode.hpp, the include file.