Description:

This notebook illustrates DifferentialEquations`LdeApprox` package capability of doing polynomial approximation of solution of simple LDE. First of all we load LdeApprox package and define simple IVP. Then we use ApproxSol procedure to find 7-th degree polynomial approximation for the IVP solution on interval x = [-h, h]. After that we find exact solution by Mathematica™ function DSolve . Finally we compare exact and approximate results using Mathematica™ function Plot3D.
 

This loads the package.

This is a simple IVP with parameter ξ.

Finding polynomial approximation of the IVP solution on interval [-h,h].

Finding exact solution of the IVP using Mathematica™ function DSolve.

Comparing exact and approximate results for and

Comparing exact and approximate results for using Mathematica™ function Plot3D.

Comparing exact and approximate results in point using Mathematica™ function Plot3D.

Comparing exact and approximate results for using Mathematica™ function Plot3D.