Jonathan Leto > Math-ODE-0.04 > Math::ODE

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Module Version: 0.04   Source   Latest Release: Math-ODE-0.05_01

NAME ^

Math::ODE - Solve N-th Order Ordinary Differential Equations

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/data',
                        step => 0.1,
                        initial => [0], 
                        ODE => [ \&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; }

AUTHOR ^

Jonathan Leto <jonathan@leto.net>

SEE ALSO ^

Boyce, DiPrima "Elementary Differential Equations" 5th Ed.

Orwant, Hietaniemi, Macdonald "Mastering Algorithms with Perl" Ch. 16.

COPYRIGHT ^

Copyright (c) 2001-2008 by Jonathan Leto. All rights reserved.

LICENSE AGREEMENT ^

This package is free software; you can redistribute it and/or modify it under the same terms as Perl itself.

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