Ashyralyev, Allaberen2022-01-142022-01-142011-10-01Ashyralyev, A. ve Yıldırım, Ö. (2011). "Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator". Applied Mathematics and Computation, 218(3), Special Issue, 1124-1131.0096-30031873-5649https://doi.org/10.1016/j.amc.2011.03.155https://www.sciencedirect.com/science/article/pii/S0096300311005352http://hdl.handle.net/11452/24107In the present paper the first and second orders of accuracy difference schemes for the numerical solution of multidimensional hyperbolic equations with nonlocal boundary and Dirichlet conditions are presented. The stability estimates for the solution of difference schemes are obtained. A method is used for solving these difference schemes in the case of one dimensional hyperbolic equation.eninfo:eu-repo/semantics/closedAccessMathematicsHyperbolic equationNonlocal boundary value problemsStabilityPartial differential equationsAccuracy difference schemesDifference schemesDirichlet conditionHyperbolic equationsHyperbolic problemsMultidimensional hyperbolic equationsNon-local boundary conditionsNonlocal boundaryNonlocal boundary value problemsNumerical solutionSecond ordersSelf adjoint operatorStability estimatesMathematical operatorsArticle0002942984000872-s2.0-80052271736112411312183, Special IssueMathematics, appliedDifference Scheme; Nonlocal Boundary Value Problems; Third Order Differential Equation