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

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

            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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                }
            }
            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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        final double tolerance = 0.1;
        EventState es = new EventState(closeEventsGenerator, 1.5 * gap,
                                       tolerance, 100,
                                       new BrentSolver(tolerance));
        es.setExpandable(new ExpandableStatefulODE(new FirstOrderDifferentialEquations() {
            public int getDimension() {
                return 0;
            }
            public void computeDerivatives(double t, double[] y, double[] yDot) {
            }

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


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

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    public void testIssue965()
        throws DimensionMismatchException, NumberIsTooSmallException,
               MaxCountExceededException, NoBracketingException {


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

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      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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      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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  }


  @Test
  public void testEventsScheduling() {


      FirstOrderDifferentialEquations sincos = new FirstOrderDifferentialEquations() {


          public int getDimension() {
              return 2;
          }

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              }
          }
          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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              }
          }
          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;

View Full Code Here

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org.apache.commons.math3.analysis.differentiation.DerivativeStructure

org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableVectorFunction

org.apache.commons.math3.analysis.function.HarmonicOscillator

org.apache.commons.math3.analysis.function.Sin

org.apache.commons.math3.analysis.function.Sinc

org.apache.commons.math3.analysis.MultivariateFunction

org.apache.commons.math3.analysis.QuinticFunction

org.apache.commons.math3.analysis.solvers.BrentSolver

org.apache.commons.math3.analysis.UnivariateFunction

org.apache.commons.math3.complex.Complex

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