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.

Field Summary

Fields inherited from class org.opensourcephysics.numerics.AbstractODESolver

numEqn, ode, stepSize

Constructor Summary

Heun3(ODE ode)

Method Summary

void	initialize(double stepSize) Initializes the ODE solver and allocates the rate and state arrays.
double	step() Steps (advances) the differential equations by the stepSize.

Methods inherited from class org.opensourcephysics.numerics.AbstractODESolver

createODESolver, getStepSize, setStepSize

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Heun3

public Heun3(ODE ode)

Method Detail

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