Approximate Solution of Boundary Value Problems for the Ordinary Second-Order Differential Equation with Variable Coefficients

Author: Archil Papukashvili
Co-authors: Zurab Vashakidze, Vitali Muladze
Annotation:

New computing algorithms for approximate solution of the two-point boundary value problem with variable coefficient are described in the paper. Green function of the given boundary value problem considered as a non-linear operator with respect to the variable coefficient is approximated by means of operator interpolation polynomial of the Newton type. For approximation of the inverse operator two different types of formulae are constructed.

Lecture files:

A.Papukashvili2017ENG [en]
A.Papukashvili2017GEO [ka]