Results 11 to 20 of about 11,908,024 (286)
A Point Source Identification Problem for a Time Fractional Diffusion Equation [PDF]
Advances in Mathematical Physics, 2013 An inverse source identification problem for a time fractional diffusion equation is discussed. The unknown heat source is supposed to be space dependent only. Based on the use of Green’s function, an effective numerical algorithm is developed to recover
Xiao-Mei Yang, Zhi-Liang Deng
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A note on well-posedness of source identification elliptic problem in a Banach space [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 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 H¨older norms are obtained. In applications, four elliptic source identification
A. Ashyralyev +2 more
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A numerical algorithm for the source identification telegraph problem [PDF]
AIP Conference Proceedings, 2021 In the present paper, source identification problem for the telegraph equation is investigated. The first order of accuracy absolute stable difference scheme for the numerical solution of the one dimensional identification problem for the telegraph equation with the Dirichlet condition is presented. Some numerical results are provided.
Ashyralyev A., Al-Hazaimeh H.
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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
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On source identification problem for a delay parabolic equation
Nonlinear Analysis, 2014 In the present study, the inverse problem of a delay parabolic equation with nonlocal conditions is investigated. The stability estimates in Hölder norms for the solution of this problem are established.
Allaberen Ashyralyev, Deniz Agirseven
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A note on the parabolic identification problem with involution and Dirichlet condition [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan, A. Sarsenbi
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Source identification problems for hyperbolic differential and difference equations
AIP Conference Proceedings, 2017 Abstract In the present study, a source identification problem for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the source identification problem are established. Furthermore, a first-order-of-accuracy difference scheme for the numerical solution of the source identification problem is ...
Allaberen Ashyralyev, Fathi Emharab
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Source identification problems for Schrödinger differential and difference equations
AIP Conference Proceedings, 2018 In the present study, a source identification problem for a one-dimensional Schrödinger equation is investigated. Stability estimates for the solution of the source identification problem are established. A first order of accuracy difference scheme for the numerical solution of this problem is presented.
Ashyralyev A., Urun M.
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Source identification problems for the neutron transport equations
Қарағанды университетінің хабаршысы. Математика сериясыIn this study, the time-dependent source identification problem for the two-dimensional neutron transport equation was studied. For the approximate solution of this problem a first order of accuracy difference scheme was presented.
A. Taskin
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Time-Dependent Source Identification Schrödinger Type Problem
, 2021 In this study, the source identification problem with non-local boundary conditions for the time-dependent, one-dimensional Schrödinger equation is studied. Stability estimates are constructed for the solution of source identification problem.
Ashyralyev A. +3 more
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