Ashyralyev, AllaberenÖzdemir, Yıldırım2020-04-302020-04-302012978-0-7354-1077-00094-243Xhttps://doi.org/10.1063/1.4747644https://hdl.handle.net/20.500.12684/39091st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEYAshyralyev, Allaberen/0000-0003-1552-0618WOS: 000309524400020A numerical method is proposed for solving multi-dimensional hyperbolic-parabolic differential equations with the nonlocal boundary condition in t and Neumann condition in space variables. The first and second orders of accuracy difference schemes are presented. The stability estimates for the solution and its first and second orders difference derivatives are established. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of a one-dimensional hyperbolic-parabolic differential equations with variable in x coefficients.en10.1063/1.4747644info:eu-repo/semantics/closedAccessFinite difference methodPartial differential equationStabilityConference Object14708083N/AN/A