Mathematical models on the basis of fundamental trigonometric splines

Abstract

The paper considers some systems of fundamental functions which are easy to be used in the problems for ordinary differential equations. The most well-known systems of fundamental functions include Lagrange system of fundamental functions and the complete systems even and odd fundamental trigonometric polynomials. However, there are some other systems of fundamental functions on analytical grid, including the systems of polynomial fundamental splines and complete trigonometric even and odd fundamental splines. Some of these systems are considered in this paper.