ode, a FORTRAN77 code 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.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
ode is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version..
CWG_ODE, a FORTRAN77 library which implements three ODE solvers by C William Gear.
DRIV, a FORTRAN77 library which solves real or complex systems of ordinary differential equations;
NMS, a FORTRAN77 library which includes the ddriv package of ODE solvers.
ODEPACK, a FORTRAN77 library which contains nine ODE solvers, including LSODE, LSODES, LSODA, LSODAR, LSODPK, LSODKR, LSODI, LSOIBT, and LSODIS, by Alan Hindmarsh.
RK4, a FORTRAN77 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 FORTRAN77 library which implements the Runge-Kutta-Fehlberg ODE solver.
TEST_ODE, a FORTRAN90 library which defines test problems for ODE solvers.
Original Fortran77 version by Lawrence Shampine, Marilyn Gordon. This version by John Burkardt.