RungeKutta.h
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RungeKutta.h
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			#ifndef ODELIBRARY_RUNGEKUTTA_H
			#define ODELIBRARY_RUNGEKUTTA_H
			#include "AbstractSolver.h"

			/**
			* The famous Runge Kutta solver. Solutions for 4 methods order are available. It will compute the 4th order udpate by
			* default, a.k.a. the RK4 method.
			*/
			class RungeKutta : public AbstractSolver{
			private:
			//
			int methodOrder;
			public:
			RungeKutta(double t0,double tf,int n,int order, Eigen::VectorXd& y0);
			/**
			* Default constructor sets the method order to 4.
			*/
			RungeKutta() : AbstractSolver() { methodOrder=4; };
			/**
			* Setter for the method order, will throw an exception if the order is invalid.
			* @param n : method order, integer, can be 1, 2, 3 or 4
			*/
			void setMethodOrder(int n);
			/// getter for the method order
			int getMethodOrder();
			/**
			* Step method for runge Kutta, it will depend on the method order.
			* @param y : Eigen vector, the current value of the equation
			* @param t : double, the current time where the step must be performed
			*/
			void step(Eigen::VectorXd &y, double t) override ;
			};

			#endif //ODELIBRARY_RUNGEKUTTA_H