ODE is a FORTRAN77 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) = Y0this program produces a sequence of approximate solution values Y(TOUT) at later times TOUT.
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.
Lawrence Shampine, Marilyn Gordon.
You can go up one level to the FORTRAN77 source codes.