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Daghestan Electronic Mathematical Reports, 2018, Issue 10, Pages 50–60
DOI: https://doi.org/10.31029/demr.10.5 (Mi demr64) 		 
The spectral method for solving the Cauchy problem for systems of ordinary differential equations by means of a system of functions orthogonal in the sense of Sobolev, generated by the Haar system

M. G. Magomed-Kasumovab, S. R. Magomedovb

a Vladikavkaz Scientific Centre of the Russian Academy of Sciences
b Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
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DOI: https://doi.org/10.31029/demr.10.5
Abstract: We consider an iterative method that numerically solves Cauchy problem for systems of equations. Suggested method is based on using Sobolev orthogonal system of functions, generated by Haar functions $\{1, \chi_n, 2^k < n \leq 2^{k+1}, k \geq 1\}$.
Keywords: Cauchy problem, numerical method, Sobolev inner product, system of differential equations, Haar system.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00486a
Received: 14.11.2018
Revised: 10.12.2018
Accepted: 11.12.2018
Document Type: Article
UDC: 519.622
Language: Russian
Citation: M. G. Magomed-Kasumov, S. R. Magomedov, “The spectral method for solving the Cauchy problem for systems of ordinary differential equations by means of a system of functions orthogonal in the sense of Sobolev, generated by the Haar system”, Daghestan Electronic Mathematical Reports, 2018, no. 10, 50–60
Citation in format AMSBIB
\Bibitem{MagMag18}
\by M.~G.~Magomed-Kasumov, S.~R.~Magomedov
\paper The spectral method for solving the Cauchy problem for systems of ordinary differential equations by means of a system of functions orthogonal in the sense of Sobolev, generated by the Haar system
\jour Daghestan Electronic Mathematical Reports
\yr 2018
\issue 10
\pages 50--60
\mathnet{http://mi.mathnet.ru/demr64}
\crossref{https://doi.org/10.31029/demr.10.5}
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