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Java library with basic math stuff
/**
* Copyright (C) 2014-2016 Philip Helger (www.helger.com)
* philip[at]helger[dot]com
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package com.helger.numbercruncher.mathutils;
/**
* Differential equation solver that implements a fourth-order Runge-Kutta
* algorithm.
*/
public class RungeKuttaDiffEqSolver extends AbstractDiffEqSolver
{
/**
* Constructor.
*
* @param equation
* the differential equation to solve
*/
public RungeKuttaDiffEqSolver (final AbstractDifferentialEquation equation)
{
super (equation);
}
/**
* Return the next data point in the approximation of the solution.
*
* @param h
* the width of the interval
*/
@Override
public DataPoint nextPoint (final float h)
{
final float k1 = m_aEquation.at (m_fX, m_fY);
final float k2 = m_aEquation.at (m_fX + h / 2, m_fY + k1 * h / 2);
final float k3 = m_aEquation.at (m_fX + h / 2, m_fY + k2 * h / 2);
final float k4 = m_aEquation.at (m_fX + h, m_fY + k3 * h);
m_fY += (k1 + 2 * (k2 + k3) + k4) * h / 6;
m_fX += h;
return new DataPoint (m_fX, m_fY);
}
}
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