Ashyralyev, AllaberenÖzdemir, Yıldırım2020-04-302020-04-302010978-0-7354-0863-00094-243Xhttps://hdl.handle.net/20.500.12684/2422International Conference on Mathematical Sciences -- NOV 23-27, 2010 -- Abant Izzet Baysal Univ, Bolu, TURKEYAshyralyev, Allaberen/0000-0003-1552-0618WOS: 000287125700080A numerical method is proposed for solving multi-dimensional hyperbolic-parabolic differential equations with the nonlocal boundary condition in t and Dirichlet 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 partial differential equations with variable in x coefficients.eninfo:eu-repo/semantics/closedAccessHyperbolic-parabolic equationDifference schemesStabilityConference Object1309725+N/AN/A