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    Numerical solution of neumann type elliptic overdetermined multipoint mixed boundary value problem
    (Maltepe Üniversitesi, 2019) Ashyralyev, Charyyar; Karabey, Suzan
    The theory and applications of various source identification problems for elliptic equations have been studied in [1]- [4] (see the references given therein). In the present paper, Neumann type elliptic overdetermined multipoint boundary problem is discussed. The first and second order of accuracy difference schemes for the numerical solution of elliptic overdetermined multipoint boundary value problems are presented. Stability estimates for solutions of difference schemes are obtained. Numerical results for mixed boundary value problem are given.
  • Küçük Resim Yok
    Yayın
    Well-posedness of source identification problem for the elliptic equation in a Banach space
    (Maltepe Üniversitesi, 2019) Ashyralyev, Allaberen; Ashyralyev, Charyyar
    In the present paper, the source identification elliptic problem, with a positive operator A in an arbitrary Banach space E is studied. Here smooth function f : [0, T] ? E and elements ?, ?, ? are given. The exact estimates for solution of identification problem are established in H¨older norms. In applications, coercive stability estimates for the solution of three elliptic boundary value problems are obtained.