Yazarlar

  • MakaleYalnız künye2022Scopus SJRQ2
    On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition

    Ashyralyev, A.; Ashyralyyev, C.

    Abstract: In this paper, we study the integral type of the time-nonlocal boundary value problem for a parabolic equation. The well-posedness of these differential and difference problems in Hölder spaces is established. Numerical illustrations in a test case are presented.

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  • BildiriYalnız künye2022
    Numerical Solution of Time-Nonlocal Problem for Parabolic Equation

    Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Cakalli, H.; Kocinac, L.D.R.; Ashyralyev, A.; Harte, R.; Dik, M.; Canak, I.; Kandemir, H.S.; Tez, M.

    In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined.

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  • MakaleYalnız künye2020Scopus SJRQ2
    Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition

    Ashyralyyev, Charyyar; Akkan, Pinar

    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, stability estimates for the solution of the overdetermined mixed boundary value problem for multidimensional parabolic equation are obtained. The first and second order of accuracy difference schemes for the approximate solution of this problem are constructed. Stability estimates for solutions of these difference schemes are proved. Numerical illustration for a simple test problem is presented.

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