Package org.opensourcephysics.numerics

Class Heun3

java.lang.Object
org.opensourcephysics.numerics.AbstractODESolver
org.opensourcephysics.numerics.Heun3
All Implemented Interfaces:
ODESolver
public class Heun3 extends AbstractODESolver
Heun3 implements Heun's third order algorithm for solving ODEs by evaluating the rate at the initial state, and two intermediate states. It then uses a weighted average to advance the state. Heun's method is known as a predictor-corrector method because it first predicts the state (estimated_state) and then corrects the rate based on the prediction.
Version:
1.0

  • Constructor Details

    • Heun3

      public Heun3(ODE ode)
      Constructor Heun3
      Parameters:
      ode -

  • Method Details

    • initialize

      public void initialize(double stepSize)
      Initializes the ODE solver and allocates the rate and state arrays. The number of differential equations is determined by invoking getState().length on the superclass.
      Specified by:
      initialize in interface ODESolver
      Overrides:
      initialize in class AbstractODESolver
      Parameters:
      stepSize -

    • step

      public double step()
      Steps (advances) the differential equations by the stepSize. The ODESolver invokes the ODE's getState method to obtain the initial state of the system. The ODESolver then uses this state estimate the rate a intermediate points. Finally, the ODESolver advances the solution and copies the new state into the state array at the end of the solution step.
      Specified by:
      step in interface ODESolver
      Specified by:
      step in class AbstractODESolver
      Returns:
      the step size