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.