https://github.com/moritz/math-rungekutta

Runge-Kutta integration of ordinary differential equations with Perl 6
https://github.com/moritz/math-rungekutta

Last synced: 16 days ago
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Runge-Kutta integration of ordinary differential equations with Perl 6

• Host: GitHub
• URL: https://github.com/moritz/math-rungekutta
• Owner: moritz
• Created: 2010-06-02T17:52:19.000Z (over 14 years ago)
• Default Branch: master
• Last Pushed: 2017-10-08T19:11:21.000Z (over 7 years ago)
• Last Synced: 2024-11-05T20:49:11.624Z (2 months ago)
• Language: Perl 6
• Homepage:
• Size: 21.5 KB
• Stars: 4
• Watchers: 3
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Introduction

Runge-Kutta integration for systems of ordinary, linear differential

equations.

WARNING: this module is not yet thoroughly tested. Use it at your own risk.

Bug reports, tests and patches are welcome!

Let's say you have a differential equation for the function f(t),

with the equation

    df/dt = f(t)^2 + t

and the initial value f(t=0) = 1;

In the context of this module, we call df/dt the "derivative",

t the "parameter"

You'd solve that numerically with this Perl 6 code:

    # synopsis.pl

    use Math::RungeKutta;

    

    # function that calculates the derivative that

    # Math::RungeKutta will integrate

    sub d($t, @values) { @values[0]**2 + $t}

    

    # that's a function that gets called with the

    # current values after each integration step

    sub callback($t, @values) { say "$t @values[0]" };

    

    my @initial = 1;

    

    adaptive-rk-integrate(

        :from(0),

        :to(0.5),

        :@initial,

        :derivative(&d),

        :do(&callback)

    );

And then look at the result:

    $ PERL6LIB=lib perl6 synopsis.pl | xmgrace -nxy -

The interfaces is inspired by Perl 5 module Math::RungeKutta, to be found at

.

# Build Status

[![Build Status](https://travis-ci.org/moritz/Math-RungeKutta.svg)](https://travis-ci.org/moritz/Math-RungeKutta)

# License

This module is licensed under the [Artistic License version 2.0](https://opensource.org/licenses/Artistic-2.0).

Its accompanying tests and examples are public domain, as defined by the [CC0 1.0 Universal (CC0 1.0) Public Domain Dedication](https://creativecommons.org/publicdomain/zero/1.0/).