2026-10-24T15:30:07Zhttps://gumushane-rdlopen.rawdatalibrary.net/oai/request

oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/157622026-10-23T18:25:55Zopenairedrivercom_gumushane_10000col_gumushane_10001com_gumushane_10007col_gumushane_10171

High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet conditionAshyralyyev, CharyyarAlmost coercive stabilityCoercive stabilityDifference schemeHigh order accuracyInverse elliptic problemStabilityWell-posednessThe overdetermination problem for elliptic differential equation with Dirichlet boundary condition is considered. The third and fourth orders of accuracy stable difference schemes for the solution of this inverse problem are presented. Stability, almost coercive stability, and coercive inequalities for the solutions of difference problems are established. As a result of the application of established abstract theorems, we get well-posedness of high order difference schemes of the inverse problem for a multidimensional elliptic equation. The theoretical statements are supported by a numerical example.Hindawi Publishing Corporation2014Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/15762https://doi.org/10.1186/1687-2770-2014-51687-2762enBoundary Value Problemsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/15762