Zh. A. Abdiramanov, Zh. D. Baishemirov, A. S. Berdyshev, K. M. Shiyapov
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引用次数: 0
Abstract
In this article is proposed a method for numerically solving a mixed problem for a hyperbolic equation with memory. An implicit difference scheme is constructed as an effective means for solving complex multidimensional problems of mathematical physics. A condition is found for guaranteed stability of an implicit difference scheme for a mixed problem in the \(L^{2}\)-norm. The order of convergence for all variables of the presented difference scheme was calculated and confirmed by numerical experiment.
期刊介绍：
Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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