|
This article is cited in 5 scientific papers (total in 5 papers)
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
b Vladikavkaz Scientific Centre of the Russian Academy of Sciences
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.
Received: 14.11.2017 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
Linking options:
https://www.mathnet.ru/eng/demr42 https://www.mathnet.ru/eng/demr/y2017/i8/p53
|
Statistics & downloads: |
Abstract page: | 283 | Full-text PDF : | 81 | References: | 35 |
|