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    Öğe
    On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem
    (Springer International Publishing Ag, 2014) Ashyralyev, Allaberen; Ozturk, Elif
    In this study, the Bitsadze-Samarskii type nonlocal boundary-value problem with integral condition for an elliptic differential equation in a Hilbert space H with self-adjoint positive definite operator A is considered. The second order of the accuracy difference scheme for the approximate solutions of this nonlocal boundary-value problem is presented. The well-posedness of this difference scheme in Holder spaces with a weight is proved. The theoretical statements for the solution of this difference scheme are supported by the results of numerical example.
  • [ X ]
    Öğe
    Stability of Difference Schemes for Bitsadze-Samarskii Type Nonlocal Boundary Value Problem Involving Integral Condition
    (Univ Nis, Fac Sci Math, 2014) Ashyralyev, Allaberen; Ozturk, Elif
    In this study, the stable difference schemes for the numerical solution of Bitsadze-Samarskii type nonlocal boundary-value problem involving integral condition for the elliptic equations are studied. The second and fourth orders of the accuracy difference schemes are presented. A procedure of modified Gauss elimination method is used for solving these difference schemes for the two-dimensional elliptic differential equation. The method is illustrated by numerical examples.