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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 ...
Some approximations of second order derivatives complex-valued functions
(Karaganda State Univ, 2018)
In this paper, we generalize the well known finite difference method to compute derivatives of real valued function to approximate of second order complex derivatives w(zz) and w((zz) over bar) for complex-valued function ...
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 note on well-posedness of source identification elliptic problem in a Banach space
(Karaganda State Univ, 2020)
We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Holder norms are obtained. In applications, four ...
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 ...
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 ...
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 ...
On Stable Difference Scheme for Identification Elliptic Problem with Integral and Second Kind Boundary Condition
(Amer Inst Physics, 2021)
In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive stability ...
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 ...