quadex_ode, an Octave code which solves a stiff ordinary differential equation (ODE), whose exact solution is a parabola, but for which errors grow exponentially.
The computer code and data files described and made available on this web page are distributed under the MIT license
quadex_ode is available in a MATLAB version and an Octave version.
allen_cahn_ode, an Octave code which sets up and solves the 1D Allen-Cahn reaction-diffusion ordinary differential equation (ODE).
arenstorf_ode, an Octave code which describes an ordinary differential equation (ODE) which defines a stable periodic orbit of a spacecraft around the Earth and the Moon.
biochemical_linear_ode, an Octave code which defines a linear biochemical ordinary differential equation (ODE).
biochemical_nonlinear_ode, an Octave code which defines a nonlinear biochemical ordinary differential equation (ODE).
brusselator_ode, an Octave code which defines the Brusselator ordinary differential equation (ODE) system.
double_pendulum_ode, an Octave code which defines the double pendulum ordinary differential equation (ODE).
flame_ode an Octave code which considers an ordinary differential equation (ODE) which models the growth of a ball of flame in a combustion process.
henon_heiles_ode, an Octave code which solves the Henon-Heiles system of ordinary differential equations (ODE) which model the motion of a star around the galactic center.
humps_ode, an Octave code which solves an ordinary differential equation (ODE) whose solution is a double hump curve.
kepler_ode, an Octave code which defines the ordinary differential equations (ODE) for a Kepler two body gravitational problem.
kepler_perturbed_ode, an Octave code which defines the ordinary differential equations (ODE) for a perturbed Kepler two body gravitational problem.
lorenz_ode, an Octave code which approximates solutions to the Lorenz system of ordinary differential equations (ODE), which exhibit sensitive dependence on the initial conditions.
normal_ode, an Octave code which sets up an ordinary differential equation (ODE) for the normal probability density function (PDF).
oscillator_ode, an Octave code which defines the highly oscillatory ordinary differential equation (ODE).
pendulum_nonlinear_ode, an Octave code which sets up the ordinary differential equations (ODE) that represent a nonlinear model ofthe behavior of a pendulum of length L under a gravitational force of strength G.
pendulum_ode, an Octave code which sets up the ordinary differential equations (ODE) that represent a linear model ofthe behavior of a pendulum of length L under a gravitational force of strength G.
predator_prey_ode, an Octave code which solves a pair of predator prey ordinary differential equations (ODE).
quasiperiodic_ode, an Octave code which sets up a system of ordinary differential equations (ODE) for a problem with a quasiperiodic solution.
robertson_ode, an Octave code which sets up a system of three nonlinear stiff ordinary differential equations (ODE) characterizing an autocatalytic chemical reaction.
roessler_ode, an Octave code which sets up and solves the Roessler ordinary differential equations (ODE) which exhibit chaotic behavior.
rubber_band_ode, an Octave code which defines and solves a set of ordinary differential equations (ODE) describing a mass suspended by a spring and rubber band, which can exhibit chaotic behavior.
sir_ode, an Octave code which sets up the ordinary differential equations (ODE) which simulate the spread of a disease using the Susceptible/Infected/Recovered (SIR) model.
sphere_ode, an Octave code which sets up the ordinary differential equations (ODE) which model motion on the surface of a sphere.
stiff_ode, an Octave code which considers an ordinary differential equation (ODE) which is an example of a stiff ODE.
string_ode, an Octave code which simulates the behavior of a vibrating string by solving the corresponding initial boundary value problem (IBVP).
three_body_ode, an Octave 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.
two_body_ode, an Octave code which defines ordinary differential equations (ODE) which simulate the behavior of two bodies, constrained to lie in a plane, moving under the influence of gravity, with one body much more massive than the other.
vanderpol_ode, an Octave code which defines the right hand side of the van der Pol oscillator ordinary differential equation (ODE).
zombie_ode, an Octave code which sets up a system of ordinary differential equations (ODE) for a generalized SIR infection model to simulate a zombie attack, developed by Philip Munz.