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Solve Ordinary Differential Equations in Perl

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Solve N-th Order Ordinary Differential Equations

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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.


    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 $o = new Math::ODE ( file => '/home/user/ode-values.txt',
                    step => 0.1,
                    initial => [0],
                    DE => [ \&DE1 ],
                    t0 => 1,
                    tf => 10 );
    # solve the equation y' = 1/$t
    # $t is the independent variable, a scalar
    # $y is the dependent variable, an array reference
    sub DE1 { my ($t,$y) = @_; return 1/$t; }


Jonathan "Duke" Leto <>
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