RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Daghestan Electronic Mathematical Reports: Year: Volume: Issue: Page: Find

 Daghestan Electronic Mathematical Reports, 2017, Issue 8, Pages 53–60 (Mi demr42)

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

I. I. Sharapudinovab, M. G. Magomed-Kasumovab

a Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala

Abstract: 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

 Funding Agency Grant Number Russian Foundation for Basic Research 16-01-00486a

DOI: https://doi.org/10.31029/demr.8.6

Full text: PDF file (647 kB)
Full text: http://mathreports.ru/.../a-numerical-method-for-solving-the-cauchy-problem-for-systems-of-ordinary-differential-equations-by-
References: PDF file   HTML file

UDC: 519.622
Revised: 25.12.2017
Accepted:26.12.2017

Citation: I. I. Sharapudinov, M. G. Magomed-Kasumov, “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”, Daghestan Electronic Mathematical Reports, 2017, no. 8, 53–60

Citation in format AMSBIB
\Bibitem{ShaMag17} \by I.~I.~Sharapudinov, M.~G.~Magomed-Kasumov \paper 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 \jour Daghestan Electronic Mathematical Reports \yr 2017 \issue 8 \pages 53--60 \mathnet{http://mi.mathnet.ru/demr42} \crossref{https://doi.org/10.31029/demr.8.6}