Name: ode-euler
Owner: scijs
Description: Integrate a system of ODEs using the Euler method
Created: 2015-07-24 15:29:58.0
Updated: 2017-05-02 03:14:59.0
Pushed: 2015-08-01 17:46:02.0
Homepage: null
Size: 168
Language: JavaScript
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Integrate a system of ODEs using the Euler method
This module integrates a system of ordinary differential equations of the form
is a vector of length 
. Given time step 
, the Euler method integrates the ODE with update 
m install ode-euler
euler = require('ode-euler')
deriv = function(dydt, y, t) {
dt[0] = -y[1]
dt[1] = y[0]
y0 = [1,0]
n = 1000
t0 = 0
dt = 2.0 * Math.PI / n
integrator = euler( y0, deriv, t0, dt )
ntegrate 1000 steps:
grator.steps(n)
ntegrate all the way around a circle:
> integrator.y = [ 1.0199349143076457, -0.00008432969374211775 ]
require('ode-euler')( y0, deriv, t0, dt )Arguments:
y0: an array or typed array containing initial conditions. This vector is updated in-place with each integrator step.deriv: a function that calculates the derivative. Format is function( dydt, y, t ). Inputs are current state y and current time t, output is calcualted derivative dydt.t0: initial time 
.dt: time step .Returns: Initialized integrator object.
Properties:
n: dimension of y0.y: current state. Initialized as a shallow copy of input y0.deriv: function that calcualtes derivative. Initialized from input. May be changed.t: current time, incremented by dt with each time step.dt: time step . Initialized from input dt. May be changed.Methods:
.step(): takes a single step of the Euler integrator and stores the result in-place in the y property..steps( n ): takes n steps of the Euler integrator, storing the result in-place in the y property.(c) 2015 Ricky Reusser. MIT License