|
Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 154, Pages 89–98
(Mi into382)
|
|
|
|
This article is cited in 10 scientific papers (total in 10 papers)
On a Certain Finite-Difference Scheme for a Hereditary Oscillatory Equation
R. I. Parovikab a Institute of Cosmophysical Researches and Radio Wave Propagation, Far East Division, Russian Academy of Sciences
b Kamchatka State University named after Vitus Bering
Abstract:
In this paper, we proposed an explicit finite-difference scheme for numerical simulation of the Cauchy problem for a nonlinear integro-differential equation that describes an oscillatory process with friction and memory (heredity) and the corresponding local initial conditions. Approximation, stability, and convergence of the finite-difference scheme are examined. Results of computer experiments that implement the numerical scheme proposed confirm theoretical estimates.
Keywords:
stability, convergence, explicit finite-difference scheme, heredity, integro-differential equation, memory function, Runge rule, approximation.
Citation:
R. I. Parovik, “On a Certain Finite-Difference Scheme for a Hereditary Oscillatory Equation”, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 154, VINITI, Moscow, 2018, 89–98; J. Math. Sci. (N. Y.), 253:4 (2021), 547–557
Linking options:
https://www.mathnet.ru/eng/into382 https://www.mathnet.ru/eng/into/v154/p89
|
Statistics & downloads: |
Abstract page: | 155 | Full-text PDF : | 49 | References: | 21 | First page: | 3 |
|