org.opensourcephysics.numerics
Class DormandPrince45

java.lang.Object
  org.opensourcephysics.numerics.DormandPrince45

All Implemented Interfaces:

ODEAdaptiveSolver, ODESolver

Direct Known Subclasses:

RK45

public class DormandPrince45
extends java.lang.Object
implements ODEAdaptiveSolver

DormandPrince45 implements a RKF 4/5 ODE solver with variable step size using Dormand-Prince coefficients.

Version:

1.0

Author:

W. Christian, F. Esquembre

Field Summary

protected boolean	enableExceptions
protected double	tol

Fields inherited from interface org.opensourcephysics.numerics.ODEAdaptiveSolver

BISECTION_EVENT_NOT_FOUND, DID_NOT_CONVERGE, NO_ERROR

Constructor Summary

DormandPrince45(ODE _ode)
Constructs the DormandPrince45 ODESolver for a system of ordinary differential equations.

Method Summary

void	enableRuntimeExpecptions(boolean enable) Enables runtime exceptions if the solver does not converge.
int	getErrorCode() Gets the error code.
double	getStepSize() Gets the step size.
double	getTolerance() Method getTolerance
void	initialize(double _stepSize) Initializes the ODE solver.
void	setStepSize(double stepSize) Sets the step size.
void	setTolerance(double _tol) Method setTolerance
double	step() Steps (advances) the differential equations by the stepSize.

Methods inherited from class java.lang.Object

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

Field Detail

tol

protected double tol

enableExceptions

protected boolean enableExceptions

Constructor Detail

DormandPrince45

public DormandPrince45(ODE _ode)

Constructs the DormandPrince45 ODESolver for a system of ordinary differential equations.

Parameters:

_ode - the system of differential equations.

Method Detail

initialize

public void initialize(double _stepSize)

Initializes the ODE solver. Temporary state and rate arrays are allocated. The number of differential equations is determined by invoking getState().length on the ODE.

Specified by:

initialize in interface ODESolver

Parameters:

_stepSize -

step

public double step()

Steps (advances) the differential equations by the stepSize. The ODESolver invokes the ODE's getRate method to obtain the initial state of the system. The ODESolver then 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

Returns:

the step size

enableRuntimeExpecptions

public void enableRuntimeExpecptions(boolean enable)

Enables runtime exceptions if the solver does not converge.

Parameters:

enable - boolean

setStepSize

public void setStepSize(double stepSize)

Sets the step size. The step size may change when the step method is invoked.

Specified by:

setStepSize in interface ODESolver

Parameters:

stepSize -

getStepSize

public double getStepSize()

Gets the step size. The stepsize is adaptive and may change as the step() method is invoked.

Specified by:

getStepSize in interface ODESolver

Returns:

the step size

setTolerance

public void setTolerance(double _tol)

Method setTolerance

Specified by:

setTolerance in interface ODEAdaptiveSolver

Parameters:

_tol -

getTolerance

public double getTolerance()

Method getTolerance

Specified by:

getTolerance in interface ODEAdaptiveSolver

Returns:

getErrorCode

public int getErrorCode()

Gets the error code. Error codes: ODEAdaptiveSolver.NO_ERROR ODEAdaptiveSolver.DID_NOT_CONVERGE

Specified by:

getErrorCode in interface ODEAdaptiveSolver

Returns:

int