rk1, a C code which solves one or more ordinary differential equations (ODE) using an explicit Runge-Kutta method of order 1, usually known as Euler's explicit method.
The information on this web page is distributed under the MIT license.
rk1 is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
backward_euler, a C code which solves one or more ordinary differential equations (ODE) using the (implicit) backward Euler method, using a version of fsolve() for the implicit equation.
euler, a C code which uses Euler's method to solve an ordinary differential equation (ODE).
lorenz_ode, a C code which sets up the Lorenz system of ordinary differential equations (ODE), which exhibit sensitive dependence on the initial conditions.
midpoint, a C code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, with a version of fsolve() handling the associated nonlinear equations, and using a fixed time step.
midpoint_explicit, a C code which solves one or more ordinary differential equations (ODE) using the (explicit) midpoint method.
midpoint_fixed, a C code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, using a fixed point method for the implicit equation.
midpoint_gsl_test, a C code which calls the Gnu Scientific Library (GSL) implicit midpoint method solver for ordinary differential equation (ODE), and uses gnuplot() to plot the resulting solution.
rk1_implicit, a C code which solves one or more ordinary differential equations (ODE) using the Runge-Kutta order 1 implicit method, using fsolve() to solve the implicit equation, and using a fixed time step. rk1_implicit() is commonly called the backward Euler method.
rk12, a C code which implements Runge-Kutta solvers of orders 1 and 2 for a system of ordinary differential equations (ODE).
rk23, a C code which implements Runge-Kutta ODE solvers of orders 2 and 3.
rk34, a C code which implements Runge-Kutta ODE solvers of orders 3 and 4.
rk4, a C code which applies the fourth order Runge-Kutta (RK) algorithm to estimate the solution of an ordinary differential equation (ODE).
rkf45, a C code which implements the Runge-Kutta-Fehlberg solver for ordinary differential equations (ODE).
trapezoidal, a C 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.