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APPROXIMATE SOLUTION FOR AN INVERSE PROBLEM OF MULTIDIMENSIONAL ELLIPTIC EQUATION WITH MULTIPOINT NONLOCAL AND NEUMANN BOUNDARY CONDITIONS
(Texas State Univ, 2017)
In this work, we consider an inverse elliptic problem with Bitsadze-Samarskii type multipoint nonlocal and Neumann boundary conditions. We construct the first and second order of accuracy difference schemes (ADSs) for ...
NUMERICAL SOLUTION TO INVERSE ELLIPTIC PROBLEM WITH NEUMANN TYPE OVERDETERMINATION AND MIXED BOUNDARY CONDITIONS
(Texas State Univ, 2015)
This article studies the numerical solution of inverse problems for the multidimensional elliptic equation with Dirichlet-Neumann boundary conditions and Neumann type overdetermination. We present first and second order ...
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 ...
Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition
(Taylor & Francis Inc, 2020)
We study a source identification problem for a parabolic equation with multipoint nonlocal boundary condition. Stability estimates for the solution of abstract source identification problem are established. In application, ...
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 ...
Note on small singular values of sequences of matrices
(Amer Inst Physics, 2014)
In this paper, some sequences of matrices for matrix pencils are considered. Properties of small singular values of these matrices are investigated. Estimates for singular values are obtained. The result of computer ...
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 ...
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 ...
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 ...
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 ...