Email this article Numerical Method for Some Singular Integro-Differential Equations
- Authors: Rasol’ko G.A.1, Sheshko S.M.1, Sheshko M.A.2
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Affiliations:
- Belarusian State University
- John Paul II Catholic University of Lublin
- Issue: Vol 55, No 9 (2019)
- Pages: 1242-1249
- Section: Numerical Methods
- URL: https://journal-vniispk.ru/0012-2661/article/view/155227
- DOI: https://doi.org/10.1134/S0012266119090118
- ID: 155227
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Abstract
Numerical solution schemes are constructed and justified for two singular integro-differential equations containing an integral, understood in the sense of the Cauchy principal value, over an interval of the real axis. An integral equation with logarithmic kernel of a special form is studied and approximately solved. Uniform error estimates for the approximate solutions are obtained.
About the authors
G. A. Rasol’ko
Belarusian State University
Author for correspondence.
Email: rasolka@gmail.com
Belarus, Minsk, 220030
S. M. Sheshko
Belarusian State University
Author for correspondence.
Email: serge.sheshka@gmail.com
Belarus, Minsk, 220030
M. A. Sheshko
John Paul II Catholic University of Lublin
Author for correspondence.
Email: sheshkoma@gmail.com
Poland, Lublin, 20-950
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