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.
The computer code and data files described and made available on this web page are distributed under the MIT license
midpoint_gsl_test is available in a C version and a C++ version.
euler, a C code which solves one or more ordinary differential equations (ODE) using the forward Euler method.
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, also called the modified Euler method.
midpoint_fixed, a C code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, applying a fixed point iteration to solve the associated nonlinear equation.
ode, a C code which solves a system of ordinary differential equations (ODE), by Shampine and Gordon.
ode_moshier, a C code which implements the Adams-Bashforth-Moulton and Runge-Kutta (RK) methods of solving systems of ordinary differential equations (ODE), by Steven Moshier.
predator_prey_ode, a C code which solves a pair of predator prey ordinary differential equations (ODE).
stiff_ode, a C code which considers an ordinary differential equation (ODE) which is an example of a stiff ODE.
three_body_ode, a C code which defines a set of ordinary differential equations (ODE) which simulates the behavior of three planets, constrained to lie in a plane, and moving under the influence of gravity, by Walter Gander and Jiri Hrebicek.
