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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
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.
Received: 14.11.2018 Revised: 10.12.2018 Accepted: 11.12.2018
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
Linking options:
https://www.mathnet.ru/eng/demr64 https://www.mathnet.ru/eng/demr/y2018/i10/p50
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Abstract page: | 72 | Full-text PDF : | 50 | References: | 6 |
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