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Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP
(Springer International Publishing Ag, 2017)
This paper is devoted to a Bitsadze-Samarskii type overdetermined multipoint nonlocal boundary value problem (NBVP). This inverse problem is reduced to an auxiliary multipoint NBVP. Stability estimates for the solution of ...
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 ...
Stability Estimates for Solution of Neumann-Type Overdetermined Elliptic Problem
(Taylor & Francis Inc, 2017)
This paper addresses estimation of the solution of inverse problem for the elliptic type equation with second kind boundary conditions and Neumann-type overdetermination at the interior point. We prove various estimates ...
Finite Difference Method for Bitsadze-Samarskii Type Overdetermined Elliptic Problem with Dirichlet Conditions
(Univ Nis, Fac Sci Math, 2018)
In this paper, we apply finite difference method to Bitsadze-Samarskii type overdetermined elliptic problem with Dirichlet conditions. Stability, coercive stability inequalities for solution of the first and second order ...
The Difference Problem of Obtaining the Parameter of a Parabolic Equation
(Hindawi Ltd, 2012)
The boundary value problem of determining the parameter p of a parabolic equation v'(t) + Av(t) = f(t) + p (0 <= t <= 1), v(0) = phi, v(1) = psi in an arbitrary Banach space E with the strongly positive operator A is ...
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 ...
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 ...
Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
(Springer International Publishing Ag, 2015)
In the present study, the inverse problem for a multidimensional elliptic equation with mixed boundary conditions and overdetermination is considered. The first and second orders of accuracy in t and the second order of ...
A Fourth Order Approximation of the Neumann Type Overdetermined Elliptic Problem
(Univ Nis, Fac Sci Math, 2017)
In this paper, we consider an inverse elliptic problem with Neumann type overdetermination and construct a fourth order of accuracy difference scheme for its solution. Stability, almost coercive stability and coercive ...