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Strong stability algorithm for solving boundary problems in the irregular waveguide theory

Abstract

It's proposed a finite-step algorithm with strong stability for solving incorrectly formulated two-point boundary problems for ordinary differential equations arising in the irregular waveguide theory.

About the Authors

A. A. Kurayev
Belarusian state university of informatics and radioelectronics
Belarus

D.Sci, professor, professor of information radiotechnologies department



V. V. Matveyenka
Belarusian state university of informatics and radioelectronics
Belarus

Matveyenka Vladimir Vladimirovich - PhD, associate professor, associate professor of computational methods and programming department

220013, Republic of Belarus, Minsk, P. Brovka, st., 6

tel. +375-17-293- 89-56



T. L. Popkova
Belarusian state university of informatics and radioelectronics
Belarus

PhD, associate professor, associate professor of information radiotechnologies department



References

1. Kuraev A.A., Kovalev I.S., Kolosov S.V. Chislennye metody optimizacii v zadachah jelektroniki SVCh. Minsk: Nauka i tehnika, 1975. 296 s. (in Russ.)

2. Samarskij A.A., Vabishhevich P.N., Matus P.P. Raznostnye shemy s operatornymi mnozhiteljami. Minsk, 1998. 442 s. (in Russ.)

3. Kurayev A.A., Matveyenko V.V., Popkova T.L. Algorithms with Stabilizing Coefficients for Solving Poorly Determined Radiophisics Problems // Radiofizika i elektronika. 2016. Vol. 7, № 3. P. 5–10.

4. Kuraev A.A., Popkova T.L., Jaromenok S.I. Apparat T-funkcij dlja reshenija dvuhtochechnyh kraevyh zadach v teorii nereguljarnyh volnovodov // Radiotehnika. 2004. № 9. S. 34–39. (in Russ.)

5. Kuraev A.A., Popkova T.L., Jaromenok S.I. T-funkcii dlja chetnyh chislenno-analiticheskih metodov reshenija kraevyh zadach jelektrodinamiki // Vesti NAN Belarusi. 2005. № 2. S. 60–68. (in Russ.)

6. Kuraev A.A., Popkova T.L., Sinicyn A.K. Jelektrodinamika i rasprostranenie radiovoln. M., 2016. 424 s. (in Russ.)


Review

For citations:


Kurayev A.A., Matveyenka V.V., Popkova T.L. Strong stability algorithm for solving boundary problems in the irregular waveguide theory. Doklady BGUIR. 2018;(8):12-17. (In Russ.)

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ISSN 1729-7648 (Print)
ISSN 2708-0382 (Online)