Email this article Approximate Solution of Differential Equations with the Help of Rational Spline Functions
- Authors: Magomedova V.G.1, Ramazanov A.K.1,2
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Affiliations:
- Dagestan State University
- Dagestan Scientific Center, Russian Academy of Sciences
- Issue: Vol 59, No 4 (2019)
- Pages: 542-549
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180503
- DOI: https://doi.org/10.1134/S0965542519040110
- ID: 180503
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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.
About the authors
V. G. Magomedova
Dagestan State University
Author for correspondence.
Email: vazipat@rambler.ru
Russian Federation, Makhachkala, Dagestan, 367000
A.-R. K. Ramazanov
Dagestan State University; Dagestan Scientific Center, Russian Academy of Sciences
Author for correspondence.
Email: ar-ramazanov@rambler.ru
Russian Federation, Makhachkala, Dagestan, 367000; Makhachkala, Dagestan, 367032
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