NUMERICAL RECONSTRUCTION OF A SPACE-DEPENDENT SOURCE TERM FOR MULTIDIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATIONS
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Editura Acad Romane
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we consider the problem of identifying the unknown source function in the time-space fractional diffusion equation from the final obser-vation data. An implicit difference technique is proposed in conjunction with the matrix transfer scheme for approximating the solution of the direct problem. The challenge pertains to an inverse scenario encompassing a nonlocal ill-posed operator. The problem under investigation is formulated as a regularized optimization problem with a least-squares cost function minimization objective. An approximation for the source function is obtained using an iterative non-stationary Tikhonov regularization approach. Three numerical examples are reported to verify the efficiency of the pro-posed schemes.
Açıklama
Anahtar Kelimeler
Time-space fractional equation, Inverse problem, Fractional Lapla-cian, Iterative non-stationary Tikhonov regularization
Kaynak
Romanian Reports in Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
75
Sayı
4
