Examples of FirstOrderDifferentialEquations

org.apache.commons.math.ode.FirstOrderDifferentialEquations
This interface represents a first order differential equations set.
This interface should be implemented by all real first order differential equation problems before they can be handled by the integrators {@link FirstOrderIntegrator#integrate} method.
A first order differential equations problem, as seen by an integrator is the time derivative dY/dt of a state vector Y, both being one dimensional arrays. From the integrator point of view, this derivative depends only on the current time t and on the state vector Y.

For real problems, the derivative depends also on parameters that do not belong to the state vector (dynamical model constants for example). These constants are completely outside of the scope of this interface, the classes that implement it are allowed to handle them as they want.
@see FirstOrderIntegrator @see FirstOrderConverter @see SecondOrderDifferentialEquations @version $Revision: 620312 $ $Date: 2008-02-10 12:28:59 -0700 (Sun, 10 Feb 2008) $ @since 1.2
org.apache.commons.math3.ode.FirstOrderDifferentialEquations
This interface represents a first order differential equations set.
This interface should be implemented by all real first order differential equation problems before they can be handled by the integrators {@link FirstOrderIntegrator#integrate} method.
A first order differential equations problem, as seen by an integrator is the time derivative dY/dt of a state vector Y, both being one dimensional arrays. From the integrator point of view, this derivative depends only on the current time t and on the state vector Y.

For real problems, the derivative depends also on parameters that do not belong to the state vector (dynamical model constants for example). These constants are completely outside of the scope of this interface, the classes that implement it are allowed to handle them as they want.
@see FirstOrderIntegrator @see FirstOrderConverter @see SecondOrderDifferentialEquations @since 1.2

Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations

  public void testWrongDerivative()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {
      HighamHall54Integrator integrator =
          new HighamHall54Integrator(0.0, 1.0, 1.0e-10, 1.0e-10);
      FirstOrderDifferentialEquations equations =
          new FirstOrderDifferentialEquations() {
            public void computeDerivatives(double t, double[] y, double[] dot) {
            if (t < -0.5) {
                throw new LocalException();
            } else {
                throw new RuntimeException("oops");

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Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations

    @Test
    public void testIssue695()
        throws DimensionMismatchException, NumberIsTooSmallException,
               MaxCountExceededException, NoBracketingException {


        FirstOrderDifferentialEquations equation = new FirstOrderDifferentialEquations() {
            
            public int getDimension() {
                return 1;
            }

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Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations

              }
          }
          public void init(double t0, double[] y0, double t) {
          }
      });
      integ.integrate(new FirstOrderDifferentialEquations() {
          public void computeDerivatives(double t, double[] y, double[] dot) {
              dot[0] = 1.0;
          }
          public int getDimension() {
              return 1;

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Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations

      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {
      final double   t0     = 1878250320.0000029;
      final double   tEvent = 1878250379.9999986;
      final double[] k  = { 1.0e-4, 1.0e-5, 1.0e-6 };
      FirstOrderDifferentialEquations ode = new FirstOrderDifferentialEquations() {


          public int getDimension() {
              return k.length;
          }

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Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations


      AdaptiveStepsizeIntegrator integ =
              new DormandPrince853Integrator(0, Double.POSITIVE_INFINITY, Double.NaN, Double.NaN);
      final double start = 0.0;
      final double end   = 0.001;
      FirstOrderDifferentialEquations equations = new FirstOrderDifferentialEquations() {


          public int getDimension() {
              return 1;
          }

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Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations

      yDot[1] = omega * (y[0] - c[0]);
    }


    public static void runExample1() {
      FirstOrderIntegrator integrator = new DormandPrince853Integrator(1.0e-8, 100.0, 1.0e-10, 1.0e-10);
      FirstOrderDifferentialEquations ode = new CircleODE(new double[] { 1.0, 1.0 }, 0.1);
      double[] y = new double[] { 0.0, 1.0 }; // initial state
      StepHandler stepHandler = new StepHandler() {
        public void init (double t0, double[] y0, double t) {
        }

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Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations

              }
          }
          public void init(double t0, double[] y0, double t) {
          }
      });
      integ.integrate(new FirstOrderDifferentialEquations() {
          public void computeDerivatives(double t, double[] y, double[] dot) {
              dot[0] = 1.0;
          }
          public int getDimension() {
              return 1;

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Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations


      AdaptiveStepsizeIntegrator integ =
              new GraggBulirschStoerIntegrator(0, Double.POSITIVE_INFINITY, Double.NaN, Double.NaN);
      final double start = 0.0;
      final double end   = 0.001;
      FirstOrderDifferentialEquations equations = new FirstOrderDifferentialEquations() {


          public int getDimension() {
              return 1;
          }

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Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations

          }
      });
      double[] y = {4.0};
      double t0 = 3.0;
      double tend = 10.0;
      integ.integrate(new FirstOrderDifferentialEquations() {
          public int getDimension() {
              return 1;
          }


          public void computeDerivatives(double t, double[] y, double[] yDot) {

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Examples of org.apache.commons.math3.ode.FirstOrderDifferentialEquations


  @Test
  public void testWrongDerivative() throws Exception {
      HighamHall54Integrator integrator =
          new HighamHall54Integrator(0.0, 1.0, 1.0e-10, 1.0e-10);
      FirstOrderDifferentialEquations equations =
          new FirstOrderDifferentialEquations() {
            public void computeDerivatives(double t, double[] y, double[] dot) {
            if (t < -0.5) {
                throw new LocalException(t);
            } else {
                throw new RuntimeException("oops");

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