euler, a Fortran77 code which solves one or more ordinary differential equations (ODE) using the forward Euler method.
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euler is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a FreeFem++ version and a Julia version and a MATLAB version and an Octave version and a Python version and an R version.
backward_euler, a Fortran90 code which solves one or more ordinary differential equations (ODE) using the (implicit) backward Euler method, using fsolve() for the implicit equation.
bdf2, a Fortran77 code which solves one or more ordinary differential equations (ODE) using the (implicit) backward difference formula of order 2 (BDF2), using fsolve() to solve the implicit equation.
midpoint, a Fortran77 code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, with a version of fsolve() handling the associated nonlinear equation, and using a fixed time step.
rk4, a Fortran77 code which applies the fourth order Runge-Kutta (RK) algorithm to estimate the solution of an ordinary differential equation (ODE).
rkf45, a Fortran77 code which implements the Runge-Kutta-Fehlberg ODE solver.
trapezoidal, a Fortran77 code which solves one or more ordinary differential equations (ODE) using the (implicit) trapezoidal method, and a version of fsolve() to handle the nonlinear equation.