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Numerical solution of a source identification problem: Almost coercivity

Journal of Inverse and Ill-posed Problems, 2018
Abstract The present paper is devoted to the investigation of a source identification problem that describes the flow in capillaries in the case when an unknown pressure acts on the system. First and second order of accuracy difference schemes are presented for the numerical solution of this problem.
Allaberen Ashyralyev   +2 more
openaire   +2 more sources

Source identification problem for an elliptic-hyperbolic equation

AIP Conference Proceedings, 2016
In the present paper, a boundary value problem for the differential equation with parameter in a Hilbert space with self-adjoint definite operator is investigated. The well-posedness of this problem is presented. The stability inequalities for the solution of source identification problem for elliptic-hyperbolic equations are given.
Allaberen Ashyralyev   +2 more
openaire   +1 more source

An inverse fractional diffusion problem of source identification type

Mathematical Sciences, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Janmohammadi   +2 more
openaire   +1 more source

A Source Identification Problem for Subdiffusion Equations Involving Delays

Mathematical Methods in the Applied Sciences
ABSTRACTWe are concerned with a problem of parameter identification in a subdiffusion equation involving time‐varying delays. The solvability of problem is proved by using final state observation, which is possibly nonlocal data. The state function is shown to be Hölder continuous, and the stability result in the case of local data is testified ...
Nguyen Van Dac, Lam Thi Thoa
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On source identification problem for a hyperbolic-parabolic equation

Contemporary Analysis and Applied Mathematics, 2015
In the present paper, the boundary value problem for the differential equation with parameter $p$% \begin{equation*} \left\{ \begin{array}{l} \frac{d^{2}u(t)}{dt^{2}}+Au(t)=g(t)+p ...
Allaberen Ashyralyev   +1 more
openaire   +1 more source

Source identification problems for the wave equation on graphs

Inverse Problems, 2015
We consider source identification problems for the wave equation on graphs. The main advantage of our approach is its locality. Our algorithm reduces essentially to the resolution of linear integral Volterra equations of the second kind and is new even for an interval.
Sergei Avdonin, Serge Nicaise
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On Source Identification Problem for Telegraph Differential Equations

2016
In the present paper, the source identification problem for a telegraph equation with unknown parameter p $$\displaystyle{ \left \{\begin{array}{l} \frac{d^{2}u(t)} {dt^{2}} +\alpha \frac{du(t)} {dt} + Au(t) = p + f(t)\ (0 \leq t \leq T),\\ \\ u(0) =\varphi,u^{{\prime}}(0) =\psi,u(T) =\xi \end{array} \right.
Allaberen Ashyralyev, Fatma Çekiç
openaire   +1 more source

Problem Headaches: Physical Identification of Extracranial Pain Sources.

Annals of Internal Medicine, 1964
Excerpt The majority of chronically recurrent severe headaches have their originoutside, rather than inside, the skull.
openaire   +1 more source

A source identification problem in linear parabolic problems: A semigroup approach

jiip, 2013
Abstract. This paper presents a semigroup approach for an inverse source problem for the abstract heat equation with the unknown function h. This can be recovered from the time measurements at a single interior point y. The existence of a solution is shown in appropriate function spaces.
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Solution of source identification problem by using GMS and MATLAB

ISH Journal of Hydraulic Engineering, 2013
In this paper, a new methodology is proposed by linking the user-friendly commercial groundwater simulation software Groundwater Modeling System (GMS) with MATLAB-based optimization procedure for solving groundwater source identification problem. The simulation package MODFLOW and MT3DMS available in GMS is used to simulate the flow and transport ...
Triptimoni Borah   +1 more
openaire   +1 more source

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