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High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition
(Springer International Publishing Ag, 2014)
The 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 ...
High Order Approximation of the Inverse Elliptic Problem with Dirichlet-Neumann Conditions
(Univ Nis, Fac Sci Math, 2014)
Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost ...
Inverse Neumann problem for an equation of elliptic type
(Amer Inst Physics, 2014)
Inverse problem for an elliptic differential equation with Neumann conditions is considered. Stability and coercive stability estimates for the solution of inverse problem with the overdetermination are obtained. The first ...
Approximation of the inverse elliptic problem with mixed boundary value conditions
(Amer Inst Physics, 2014)
The inverse problem for the multidimensional elliptic equation with Neumann-Dirichlet conditions are presented. For the approximate solution of this inverse problem the first and second order of accuracy in t and in space ...
Numerical Solution of Neumann Type Elliptic Overdetermined Multipoint Mixed Boundary Value Problem
(Amer Inst Physics, 2019)
In the present paper, Neumann type elliptic overdetermined multipoint boundary value problem is discussed. The first and second order of accuracy difference schemes (ADSs) for the numerical solution of elliptic overdetermined ...
A third order of accuracy difference scheme for the Neumann type overdetermined elliptic problem
(Contemporary Analysis and Applied Mathematics, 2016)
In this paper, a third order of accuracy difference scheme for the approximation of the solution of elliptic identi cation problem with Neumann type overdetermination is presented. We obtain stability estimates for the ...
A Third Order of Accuracy Difference Scheme for Bitsadze-Samarskii Type Elliptic Overdetermined Multi-Point Problem
(Amer Inst Physics, 2018)
In this study, a third order of accuracy difference scheme for Bitsadze-Samarskii type multi-point elliptic overdetermined problem is studied. For solution of constructed difference problem stability, almost coercive ...
Finite Difference Approximations of First Order Derivatives of Complex-valued Functions
(Amer Inst Physics, 2018)
In this study, we generalize the well-known finite difference method to compute derivatives of a real-valued function to approximate complex derivatives w(z) and w((z) over bar) for complex-valued function w. Exploring ...
Stability estimates for solution of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions
(Amer Inst Physics, 2016)
In this study, we discuss well-posedness of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions. We establish abstract results on stability and coercive stability estimates for the solution of this ...
Well-posedness of a fourth order of accuracy difference scheme for the Neumann type overdetermined elliptic problem
(Amer Inst Physics, 2015)
In the present paper, inverse elliptic problem with Neumann type overdetermination is discussed. A fourth order of accuracy difference scheme for the solution of this identification problem is presented. Stability, almost ...
