Approximation theory
Daghestan Electronic Mathematical Reports: Issue 8 (2017)
A numerical method for solving the Cauchy problem for systems of ordinary differential equations by means of a system orthogonal in the sense of Sobolev generated by the cosine system
UDK: 519.622
Pages: 53 - 60
DOI: 10.31029/demr.8.6
We consider iterative method that numerically solves Cauchy problem for systems of equations. Suggested method is based on using sobolev orthogonal system of functions, generated by cosine system $\{1, \sqrt{2}\cos(\pi k x), \; k \ge 1 \}$
Keywords: Cauchy problem, numerical method, Sobolev inner product, system of differential equations.