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27 lines
517 B
C++
27 lines
517 B
C++
#pragma once
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#include "math.hpp"
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namespace matrix {
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template<typename Type, size_t M>
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int integrate_rk4(
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Vector<Type, M> (*f)(Type, Vector<Type, M>),
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Vector<Type, M> & y,
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Type & t,
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Type h
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)
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{
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// https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods
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Vector<Type, M> k1, k2, k3, k4;
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k1 = f(t, y);
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k2 = f(t + h/2, y + k1*h/2);
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k3 = f(t + h/2, y + k2*h/2);
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k4 = f(t + h, y + k3*h);
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y += (k1 + k2*2 + k3*2 + k4)*(h/6);
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t += h;
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return 0;
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}
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}; // namespace matrix
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