org.apache.commons.math.ode
Class TestProblem6

java.lang.Object
  org.apache.commons.math.ode.TestProblemAbstract
      org.apache.commons.math.ode.TestProblem6

All Implemented Interfaces:

org.apache.commons.math.ode.FirstOrderDifferentialEquations

public class TestProblem6
extends TestProblemAbstract

This class is used in the junit tests for the ODE integrators.

This specific problem is the following differential equation :

    y' = 3x^5 - y
 

when the initial condition is y(0) = -360, the solution of this equation degenerates to a simple quintic polynomial function :

   y (t) = 3x^5 - 15x^4 + 60x^3 - 180x^2 + 360x - 360
 

Field Summary

Fields inherited from class org.apache.commons.math.ode.TestProblemAbstract

calls, errorScale, n, t0, t1, y0

Constructor Summary

TestProblem6()
Simple constructor.

TestProblem6(TestProblem6 problem)
Copy constructor.

Method Summary

double[]	computeTheoreticalState(double t) Compute the theoretical state at the specified time.
TestProblem6	copy() Copy operation.
void	doComputeDerivatives(double t, double[] y, double[] yDot)

Methods inherited from class org.apache.commons.math.ode.TestProblemAbstract

computeDerivatives, getCalls, getDimension, getErrorScale, getEventsHandlers, getFinalTime, getInitialState, getInitialTime, setErrorScale, setFinalConditions, setInitialConditions

Methods inherited from class java.lang.Object

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

Constructor Detail

TestProblem6

public TestProblem6()

Simple constructor.

TestProblem6

public TestProblem6(TestProblem6 problem)

Copy constructor.

Parameters:

problem - problem to copy

Method Detail

copy

public TestProblem6 copy()

Copy operation.

Specified by:

copy in class TestProblemAbstract

Returns:

a copy of the instance

doComputeDerivatives

public void doComputeDerivatives(double t,
                                 double[] y,
                                 double[] yDot)

Specified by:

doComputeDerivatives in class TestProblemAbstract

computeTheoreticalState

public double[] computeTheoreticalState(double t)

Description copied from class: TestProblemAbstract

Compute the theoretical state at the specified time.

Specified by:

computeTheoreticalState in class TestProblemAbstract

Parameters:

t - time at which the state is required

Returns:

state vector at time t