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On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problemAshyralyyev, C.Akyuz, G.overdetermined elliptic problemmulti-point conditionhigh order difference schemedifference schemeinversesource identification problemwell-posednessstabilitycoercive stabilityalmost coercive stabilityIn this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the difference scheme are obtained by using the functional operator approach. Stability, almost coercive stability, and coercive stability estimates for the solution of difference scheme are established. These theoretical results can be applied to construct a stable highly accurate difference scheme for approximate solution of multi point overdetermined boundary value problem for multidimensional elliptic partial differential equations.KARAGANDA STATE UNIV2021Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/16821https://doi.org/10.31489/2021m2/45-532518-7929enBULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/16821