Naoya Sato > Math-Lsoda-0.04 > Math::Lsoda

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Module Version: 0.04   Source  

NAME ^

Math::Lsoda - Solve ordinary differential equation systems using lsoda.

SYNOPSIS ^

  use Math::Lsoda;

Equation:

  sub eqns {
     my ($t, $x, $y) = @_;
     @$y[0] = 1.0e+4 * @$x[1] * @$x[2] - 0.04 * @$x[0];
     @$y[2] = 3.0e+7 * @$x[1] * @$x[1];
     @$y[1] = -(@$y[0] + @$y[2]);
  }

Solver:

  my $solver = Math::Lsoda->new(equation => \&eqns,
                              initial => [1.0, 0.0, 0.0],
                              start => 0.0,
                              end => 100.0,
                              dt => 0.1,
                              relative_tolerance => [1.0e-4, 1.0e-8, 1.0e-4],
                              absolute_tolerance => [1.0e-6, 1.0e-10,1.0e-6],
                              filename => 'file.dat');

DESCRIPTION ^

Math::Lsoda is a numerical module used for solving ordinary differential equations. The module is suitable for both stiff and non-stiff systems using the FORTRAN library odepack.

AUTHOR ^

Naoya Sato <synclover@gmail.com>

SEE ALSO ^

A. C. Hindmarsh, "ODEPACK, A Systematized Collection of ODE Solvers," in Scientific Computing, R. S. Stepleman et al., North-Holland, Amsterdam, 1983 pp. 55-64.

K. Radhakrishnan and A. C. Hindmarsh, "Description and Use of LSODE, the Livermore Solver for Ordinary Differential Equations," LLNL report UCRL-ID-113855, December 1993.

COPYRIGHT AND LICENSE ^

Copyright (c) 2010 Naoya Sato.

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

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