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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 4, Pages 579–586
DOI: https://doi.org/10.1134/S0044466919040112 (Mi zvmmf10876) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Approximate solution of differential equations with the help of rational spline functions

V. G. Magomedovaa, A.-R. K. Ramazanovab

a Dagestan State University, Makhachkala, Dagestan, 367000 Russia
b Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, Dagestan, 367032 Russia
Citations (4)
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DOI: https://doi.org/10.1134/S0044466919040112
Abstract: For twice continuously differentiable functions on an interval and for their derivatives up to the second order, estimates are obtained for their joint uniform approximations by rational interpolation splines and their corresponding derivatives. These estimates are used to construct approximate twice differentiable solutions of boundary value problems and an initial value problem for some second-order linear differential equations.
Key words: rational spline functions, interpolation spline functions, approximate solutions of differential equations.
Received: 08.10.2018
Revised: 12.12.2018
Accepted: 12.12.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 4, Pages 542–549
DOI: https://doi.org/10.1134/S0965542519040110
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: V. G. Magomedova, A.-R. K. Ramazanov, “Approximate solution of differential equations with the help of rational spline functions”, Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019), 579–586; Comput. Math. Math. Phys., 59:4 (2019), 542–549
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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