Yıldırım, Özgür2024-07-122024-07-122009Yıldırım, Ö. (2009). A note on hyperbolic equations with nonlocal boundary and Dirichlet-Neumann conditions. Maltepe Üniversitesi. s. 317.9.78605E+12https://hdl.handle.net/20.500.12415/2253In present paper joint with Prof. Allaberen Ashyralyev, the nonlocal boundary value problem, for the multidimensional hyperbolic equation is considered.Here ? be the unit open cube in the m-dimensional Euclidean space,The first and second order of accuracy difference schemes for the numerical solution of hyperbolic equations with nonlocal boundary and Dirichlet-Neumann conditions are presented. The stability estimates for the solutions of the difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of one dimensional hyperbolic equation.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessA note on hyperbolic equations with nonlocal boundary and Dirichlet-Neumann conditionsConference Object318317