Identification of a time-dependent source term in nonlinear hyperbolic or parabolic heat equation

VT Borukhov, GM Zayats - International Journal of Heat and Mass Transfer, 2015 - Elsevier
A problem of identification of the heat transfer sources in nonlinear media is considered with
account for the time of heat flux relaxation. In order to solve the identification problem we use …

High order approximation of the inverse elliptic problem with Dirichlet-Neumann conditions

C Ashyralyyev - Filomat, 2014 - JSTOR
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 …

On a second order of accuracy stable difference scheme for the solution of a source identification problem for hyperbolic-parabolic equations

M Ashyralyyeva, M Ashyraliyev - AIP Conference Proceedings, 2016 - pubs.aip.org
In the present paper, a second order of accuracy difference scheme for the approximate
solution of a source identification problem for hyperbolic-parabolic equations is constructed …

[PDF][PDF] Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions

A Ashyralyev, N Emirov, Z Cakir - Electronic Journal of Differential …, 2014 - emis.de
ALLABEREN ASHYRALYEV, NAZAR EMIROV, ZAFER CAKIR Abstract. We study initial-
boundary value problems for fractional parabolic equations with the Dirichlet-Neumann …

Inverse problem for a time-fractional parabolic equation

E Ozbilge, A Demir - Journal of Inequalities and Applications, 2015 - Springer
This article deals with the mathematical analysis of the inverse coefficient problem of
identifying the unknown coefficient k (x) k(x) in the linear time-fractional parabolic equation D …

A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point

A Mohebbi, M Abbasi - Inverse problems in science and …, 2015 - Taylor & Francis
The problem of finding the solution of partial differential equation with source control
parameter has appeared increasingly in physical phenomena, for example, in the study of …

Well‐Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators

A Ashyralyev, A Hanalyev - The Scientific World Journal, 2014 - Wiley Online Library
The nonlocal boundary value problem for the parabolic differential equation v′(t)+ A (t) v
(t)= f (t)(0≤ t≤ T), v (0)= v (λ)+ φ, 0< λ≤ T in an arbitrary Banach space E with the …

Stable difference scheme for the solution of the source identification problem for hyperbolic-parabolic equations

MA Ashyralyyeva, A Ashyralyyev - AIP Conference Proceedings, 2015 - pubs.aip.org
In the present paper, an implicit difference scheme of the first order of accuracy for the
approximate solution of a source identification problem for hyperbolic-parabolic equations is …

Determination of a control parameter for the difference Schrödinger equation

A Ashyralyev, M Urun - Abstract and Applied Analysis, 2013 - Wiley Online Library
The first order of accuracy difference scheme for the numerical solution of the boundary
value problem for the differential equation with parameter p, i (du (t)/dt)+ Au (t)+ iu (t)= f (t)+ …

Identification of the unknown diffusion coefficient in a linear parabolic equation via semigroup approach

E Ozbilge, A Demir - Advances in difference equations, 2014 - Springer
This article presents a semigroup approach to the mathematical analysis of the inverse
parameter problems of identifying the unknown parameters p (t) and q in the linear parabolic …