https://github.com/leto/math--ode

Solve Ordinary Differential Equations in Perl
https://github.com/leto/math--ode

Last synced: about 2 months ago
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Solve Ordinary Differential Equations in Perl

• Host: GitHub
• URL: https://github.com/leto/math--ode
• Owner: leto
• Created: 2009-04-21T08:00:20.000Z (over 15 years ago)
• Default Branch: master
• Last Pushed: 2015-11-21T07:54:41.000Z (about 9 years ago)
• Last Synced: 2024-06-11T18:57:33.042Z (7 months ago)
• Language: Perl
• Homepage:
• Size: 48.8 KB
• Stars: 2
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • Changelog: Changes

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README

        
# Math::ODE

Solve N-th Order Ordinary Differential Equations

[![Build Status](https://secure.travis-ci.org/leto/math--ode.png)](http://travis-ci.org/leto/math--ode)

# Description

This module allows you to solve N-th Order Ordinary Differential Equations with

as little pain as possible.  Currently, only IVP's (initial value problems) are

supported, but native support for BVP's (boundary value problems) may be added

in the future. To solve N-th order equations, you must first turn it into a

system of N first order equations, as in MATLAB.

# Synopsis

        use Math::ODE;

        # create new object that stores data in a file

        # and solve the given equation(s) on the interval

        # [0,10], with initial condition y(t0) = 0

        my $o = new Math::ODE ( file => '/home/user/ode-values.txt',

                        step => 0.1,

                        initial => [0],

                        DE => [ \&DE1 ],

                        t0 => 1,

                        tf => 10 );

        $o->evolve();

        # solve the equation y' = 1/$t

        # $t is the independent variable, a scalar

        # $y is the dependent variable, an array reference

        sub DE1 { my ($t,$y) = @_; return 1/$t; }

# Authors

    Jonathan "Duke" Leto