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Publication Metadata only A Space-Dependent Source Identification Problem for Hyperbolic-Parabolic Equations(Springer, 2021) Ashyraliyev, Maksat; Ashyralyev, Allaberen; Zvyagin, Victor Grigor’evich Evich; Ashyralyev, A.; Kalmenov, T.S.; Ruzhansky, M.V.; Ruzhansky, M.V.; Sadybekov, M.A.; Suragan, D.; Ashyraliyev, Maksat, Department of Software Engineering, Bahçeşehir Üniversitesi, Istanbul, Turkey; Ashyralyev, Allaberen, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Zvyagin, Victor Grigor’evich Evich, Voronezhskiy Gosudarstvenniy Universitet, Voronezh, Russian FederationIn the present paper, a space-dependent source identification problem for the hyperbolic-parabolic equation with unknown parameter p $,$, \left\{ \begin{array}{l} \displaystyle u''(t) + Au(t) = p + f(t), ~ 0Publication Metadata only On the source identification problem for hyperbolic-parabolic equation with nonlocal conditions(American Institute of Physics Inc., 2021) Ashyraliyev, Maksat; Ashyralyev, Allaberen; Zvyagin, Victor Grigor’evich Evich; Ashyralyev, A.; Ashyralyev, A.; Ashyralyev, A.; Ashralyyev, C.; Erdogan, A.S.; Lukashov, A.; Lukashov, A.; Sadybekov, M.; Ashyraliyev, Maksat, Department of Software Engineering, Bahçeşehir Üniversitesi, Istanbul, Turkey; Ashyralyev, Allaberen, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Zvyagin, Victor Grigor’evich Evich, Voronezhskiy Gosudarstvenniy Universitet, Voronezh, Russian FederationIn the present paper, we establish the well-posedness of an identification problem for determining the unknown space-dependent source term in the hyperbolic-parabolic equation with nonlocal conditions. The difference scheme is constructed for the approximate solution of this source identification problem. The stability estimates for the solution of the difference scheme are presented. © 2021 Elsevier B.V., All rights reserved.Publication Metadata only On the Stability of the Time Dependent Identification Problem for the Delay Hyperbolic Equation(American Institute of Physics Inc., 2023) Ashyralyev, Allaberen; Haso, Bishar; Aripov, M.M.; Ashyralyev, A.; Ashyralyev, A.; Ashyralyyev, C.; Ashyralyyev, C.; Erdogan, A.S.; Kabulov, A.; Karimov, E.; Khudoyberdiyev, A.; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Haso, Bishar, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, CyprusThe time dependent identification problem for the one dimensional delay hyperbolic equation is i nvestigated. The stability estimates for the solution of this identification problem are established. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only A Numerical Algorithm for the Third Order Delay Partial Differential Equation with Involution and Neumann Boundary Condition(American Institute of Physics Inc., 2023) Ashyralyev, Allaberen; Ibrahim, Suleiman; Aripov, M.M.; Ashyralyev, A.; Ashyralyev, A.; Ashyralyyev, C.; Ashyralyyev, C.; Erdogan, A.S.; Kabulov, A.; Karimov, E.; Khudoyberdiyev, A.; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Ibrahim, Suleiman, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, CyprusIn the present paper, the initial value problem for the third order delay partial differential equation with involution and Neumann boundary condition is studied. The first order of accuracy difference scheme for the numerical solution of the third order delay partial differential equation with involution and Neumann boundary condition is presented. The illustrative numerical results are provided. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only Numerical Solution of the Time-Dependent Source of Identification Problem for the Telegraph Equation with Nonlocal Condition(American Institute of Physics Inc., 2023) Ashyralyev, Allaberen; Al-Hazaimeh, Haitham; Aripov, M.M.; Ashyralyev, A.; Ashyralyev, A.; Ashyralyyev, C.; Ashyralyyev, C.; Erdogan, A.S.; Kabulov, A.; Karimov, E.; Khudoyberdiyev, A.; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Al-Hazaimeh, Haitham, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, CyprusIn the present paper, a time-dependent source of identification p roblem f or a o ne d imensional t elegraph equation with nonlocal conditions is studied. The first o rder o f a ccuracy s table d ifference s cheme f or t his s ource i dentification problem is presented. The numerical results are presented, and are compared with the exact solution to verify the accurate nature of our method. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only Numerical Solution of the Time Dependent Source Identification Problem for the Delay Hyperbolic Equation(American Institute of Physics Inc., 2023) Ashyralyev, Allaberen; Haso, Bishar; Aripov, M.M.; Ashyralyev, A.; Ashyralyev, A.; Ashyralyyev, C.; Ashyralyyev, C.; Erdogan, A.S.; Kabulov, A.; Karimov, E.; Khudoyberdiyev, A.; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Haso, Bishar, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, CyprusIn the present paper, a time dependent source of identification p roblem f or a o ne d imensional d elay hyperbolic equation with Dirichlet condition is studied. The first order of accuracy difference scheme for this source identification problem is presented. Numerical analysis and discussions are presented. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only Stochastic parabolic equations with involution and Dirichlet conditions(American Institute of Physics Inc., 2023) Ashyralyev, Allaberen; Okur, Ülker; Cakalli, H.; Kocinac, L.D.R.; Ashyralyev, A.; Harte, R.; Dik, M.; Canak, I.; Kandemir, H.S.; Tez, M.; Ozay, G.; Savas, E.; Aral, N.D.; Ucgun, F.C.; Ashyralyyev, C.; Akay, K.U.; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus; Okur, Ülker, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, CyprusThe initial value problem for the stochastic differential equations with the involution and Dirichlet conditions is investigated. The theorem on tability estimates for the one dimensional stochastic parabolic equations with dependent coefficients is established. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only A numerical algorithm for the telegraph involutory problem(American Institute of Physics Inc., 2023) Ashyralyev, Allaberen; Ashyralyyeva, Maral A.; Batyrova, Ogulbabek; Cakalli, H.; Kocinac, L.D.R.; Ashyralyev, A.; Harte, R.; Dik, M.; Canak, I.; Kandemir, H.S.; Tez, M.; Ozay, G.; Savas, E.; Aral, N.D.; Ucgun, F.C.; Ashyralyyev, C.; Akay, K.U.; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Ashyralyyeva, Maral A., Department of Applied Mathematics and Informatics, Turkmen State University, Ashgabad, Turkmenistan; Batyrova, Ogulbabek, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus, Türkmenistanyň Oguz han Adyndaky Inžener-Tehnologiýalar Uniwersiteti, Ashgabat, TurkmenistanThe telegraph type partial differential equations withtime involution are studied. For the numerical solution of the initial boundary value problem for one dimensional telegraph equations with time involution the first and second order of accuracy difference schemes are presented. Numerical results are given. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition(American Institute of Physics Inc., 2023) Ashyralyev, Allaberen; Al-Hazaimeh, Haitham; Ashyralyyev, Charyyar; Cakalli, H.; Kocinac, L.D.R.; Ashyralyev, A.; Harte, R.; Dik, M.; Canak, I.; Kandemir, H.S.; Tez, M.; Ozay, G.; Savas, E.; Aral, N.D.; Ucgun, F.C.; Ashyralyyev, C.; Akay, K.U.; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Al-Hazaimeh, Haitham, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey; Ashyralyyev, Charyyar, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanIn this paper, the first order of accuracy absolutely stable difference scheme for the approximate solution of the identification problem for the telegraph equation with the Dirichlet condition is proposed. Numerical results have been provided for the solution of time-dependent source identification problems for telegraph differential equations in the two-dimensional case. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions(American Institute of Physics Inc., 2024) Ashyralyev, Allaberen; Mu’azu, Sa’Adu Bello; Ashyralyyev, Charyyar; Ashyralyev, A.; Ashyralyev, A.; Ashyralyyev, C.; Ashyralyyev, C.; Erdogan, A.S.; Sadybekov, M.; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Mu’azu, Sa’Adu Bello, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus; Ashyralyyev, Charyyar, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanIn this paper, the numerical solution of delay nonlinear parabolic differential equations is studied. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay and nonlocal conditions are presented. Numerical results have been provided and compared with the exact solution to show the efficiency of the proposed numerical method. © 2024 Elsevier B.V., All rights reserved.