[DEPRECATED] ode-explicit
A simple module for integrating a system of first-order ODEs.
** This package has been deprecated and replaced with scijs modules. For grealy improved integrators, see any of:**
- scijs/ode-euler
- scijs/ode-midpoint
- scijs/ode-rk4
- scijs/ode45-cash-karp
- scijs/integrate-simpson
- scijs/integrate-adaptive-simpson
Usage
The integrators take a derivative function, initial conditions, and a hash of options. The integrator itself is just an object; you have to step it yourself. For example, the differential equations for a circle are:
Then to set up the integration with initial conditions y0 = 1
, y1 = 0
and timestep dt = 0.1
,
var ode = require('ode-explicit'); var deriv = function(dydt, y, t) { dydt[0] = -y[1]; dydt[1] = y[0];}; var y = [1,0]; var integrator = ode.rk4( deriv, y, {dt: 0.1, t: 0} );
The available integrators are euler
, rk2
, and rk4
. Adaptive integration is on the way. To take a single timestep,
integrator;
and to take multiple timesteps,
integrator;
The results are accessible in the original vector (or also in integrator.y
).
Credits
(c) 2015 Ricky Reusser. MIT License