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Solving Ordinary Differential Equation (ODE) Numerically
Though we can solve most of ODE using calculus, sometimes, we need the numerical solution within a range of domain . To solve the ODE numerically, the most widely used solution is using 4th order RungeKutta method.
To be able to compare the solutions, in this tutorial I provide the formulation and examples in spreadsheet from the 1 st Order Runge Kutta method (which is famous with name Euler method) up to 4 th order Runge Kutta.
Euler Method (1st Order Runge Kutta method)
2nd Order Runge Kutta method (RK2)
3rd Order Runge Kutta method (RK3)
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See also:
Numerical Excel tutorial
,
Dynamical System tutorial
,
Kardi Teknomo's Tutorial
This tutorial is copyrighted .
Preferable reference for this tutorial is
Teknomo, Kardi (2015) Solving Ordinary Differential Equation (ODE). http:\\people.revoledu.com\kardi\tutorial\ODE\