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ODESolver

Numerical Solution for Ordinary Differential Equations (IVP Problems)

Included Methods:

  • Euler,
  • Ralston's Second-Order Runge-Kutta,
  • Fourth-Order Runge-Kutta,
  • Non-Self-Starting Heun,
  • Adams-Bashforth as Open Predictor and Adams-Moulton as Closed Corrector.

Usage

ODESolver(eqn,xInit,yInit,xMax,intervalNumb,method); where

  • eqn: Differential Equation
  • xInit: Initial x value
  • yInit: Initial y value
  • xMax: Maximum x value (for inteval)
  • intervalNumb: Number of intervals
  • method: Numerical method ("---")
  • Example: ODESolver(f,0,1,3,50,"all") where f=@(x,y) x*y or anything

Notice that Fourth-Order Runge Kutta Method is used to numerically determine several values for NSS Heun's Method and Fourth-Order Adams (Adams-Bashforth and Adams-Moulton).

Thanks.