Package org.opensourcephysics.numerics

Class Euler

java.lang.Object
org.opensourcephysics.numerics.AbstractODESolver
org.opensourcephysics.numerics.Euler
All Implemented Interfaces:
ODESolver
public class Euler extends AbstractODESolver
Euler implements an Euler method ODE solver. The Euler method is unstable for many systems. It is included as an example of how to use the ODE and ODESolver interface.
Version:
1.0
Author:
Wolfgang Christian

  • Field Details

    • rate

      protected double[] rate

  • Constructor Details

    • Euler

      public Euler(ODE ode)
      Constructs the Euler ODESolver for a system of ordinary differential equations.
      Parameters:
      ode - the system of differential equations.

  • Method Details

    • initialize

      public void initialize(double stepSize)
      Initializes the ODE solver and allocates the rate array. 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 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