WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.14627/6

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Author: search.filters.author.Kanca, FatmaSubject: search.filters.subject.Finite Difference Method

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Now showing 1 - 2 of 2
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Identification Problem of a Leading Coefficient To the Time Derivative of Parabolic Equation With Nonlocal Boundary Conditions
    (Springer international Publishing Ag, 2019) Kanca, Fatma; Mishra, Vishnu Narayan
    In this study, the problem of determining the time-dependent leading coefficient to the time derivative of heat equation with nonlocal boundary and integral addition conditions is considered. The existence and uniqueness of a solution of the inverse problem under considerations are established. Some results on the numerical solution with an example are presented.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 10
    Inverse Problem for a Time Fractional Parabolic Equation With Nonlocal Boundary Conditions
    (Mdpi, 2022) Ozbilge, Ebru; Kanca, Fatma; Ozbilge, Emre
    This article considers an inverse problem of time fractional parabolic partial differential equations with the nonlocal boundary condition. Dirichlet-measured output data are used to distinguish the unknown coefficient. A finite difference scheme is constructed and a numerical approximation is made. Examples and numerical experiments, such as man-made noise, are provided to show the stability and efficiency of this numerical method.