An Implicit Difference Scheme for a Mixed Problem of Hyperbolic Type with Memory
Abdiramanov Z.A. Baishemirov Z.D. Berdyshev A.S. Shiyapov K.M.
February 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 2569 - 577 pp.
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 -norm. The order of convergence for all variables of the presented difference scheme was calculated and confirmed by numerical experiment.
convergence , hyperbolic equation with memory , implicit difference scheme , mixed problem , stability
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Abai Kazakh National Pedagogical University, Institute of Mathematics, Physics and Informatics, Department of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Institute of Information and Computational Technologies SC MES, Almaty, Kazakhstan
Kazakh–British Technical University, School of Applied Mathematics, Almaty, Kazakhstan
Abai Kazakh National Pedagogical University
Institute of Information and Computational Technologies SC MES
Kazakh–British Technical University
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