Runge-Kutta integration of ordinary differential equations with Perl 6
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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:

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;


And then look at the result:

$ PERL6LIB=lib perl6 | xmgrace -nxy -

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

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This module is licensed under the Artistic License version 2.0.

Its accompanying tests and examples are public domain, as defined by the CC0 1.0 Universal (CC0 1.0) Public Domain Dedication.