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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 ...

#### 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 ...

#### Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination

(Hindawi Ltd, 2013)

A finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the first and second ...

#### 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 ...

#### On the problem of determining the parameter of an elliptic equation in a Banach space

(Inst Mathematics & Informatics, 2014)

The boundary value problem of determining the parameter of an elliptic equation -u ''(t) + Au(t) = f (t) + p (0 <= t <= T), u(0) = phi, u(T) = psi, u(lambda) = xi, 0 < lambda < T, with a positive operator A in an arbitrary ...

#### 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 ...

#### 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 ...