Ashyralyev, AllaberenBelakroum, Kheireddine2024-07-122024-07-122019Ashyralyev, A. ve Belakroum, K. (2019). Finite difference method for the third-order partial differential equation with nonlocal boundary conditions. International Conference of Mathematical Sciences (ICMS 2019). s. 115.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2110The theory and applications of local and nonlocal boundary value problems for a third-order partial differential equations have been investigated widely in the literature. In the present work, we study the nonlocal boundary value problem, for third order partial differential equations in a Hilbert space H with a self-adjoint positive definite operator A.The main theorem on stability of this problem is established. The stability estimates for the solution of three problems for partial differential equations are obtained. Three-step difference schemes for the approximate solution of nonlocal boundary-value problem for the third-order partial differential equation are presented. Numerical experiments results are provided.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessNonlocal boundary-value problemThird-order partial differential equationDifference schemesNumerical experienceArticle116115