Suppose we have ODE then
Error term : , correct up to the third order term in Taylor series expansion.
The Taylor series expansion is
The computation is using
spreadsheet that can be downloaded here
, set , with initial condition . The few first results and the graph of solution are given below.
Note that after , the solution is not correct. See Comparison .
Preferable reference for this tutorial is
Teknomo, Kardi (2015) Solving Ordinary Differential Equation (ODE). https:\\people.revoledu.com\kardi\tutorial\ODE\