Ashyralyev, AllaberenModanli, Mahmut2024-12-242024-12-242014978-073541247-70094-243Xhttps://doi.org10.1063/1.4893851https://hdl.handle.net/20.500.12604/3743Fatih University; Gumushane University; M. Auezov South Kazakhstan State University2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014 -- 11 September 2014 through 13 September 2014 -- Shymkent -- 107295In this study, the initial value problem for a telegraph equation in a Hilbert space is considered. The stability estimate for the solution of this problem is given. A first and a second order of approximation difference schemes approximately solving the initial value problem are presented. The stability estimates for the solution of these difference schemes are given. The theoretical statements for the solution of these difference schemes are supported by the results of numerical experiments. © 2014 AIP Publishing LLC.eninfo:eu-repo/semantics/closedAccessFinite difference methodNumerical solutionStabilityTelegraph equationConference Object1611300304Q42-s2.0-8490730053910.1063/1.4893851