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. KurayevBelarus
D.Sci, professor, professor of information radiotechnologies department
V. V. Matveyenka
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
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.)