Publications
Article · Lobachevskii Journal of Mathematics · February 1, 2024
An Implicit Difference Scheme for a Mixed Problem of Hyperbolic Type with Memory
Zh. A. Abdiramanov, Zharasbek D. Baishemirov, Abdumauvlen Berdyshev, Kadrzhan Shiyapov
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.
Differential Equations and Boundary ProblemsDifferential Equations and Numerical MethodsNumerical methods for differential equationsinitial-boundary value problemimplicit finite difference schemestability conditions
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