Analytical and numerical reconstruction of internal structure of the objects in a family of straight-line segments
Niyetbay UteulievDepartment of Software Engineering, Nukus branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Nukus, UzbekistanGafur DjaykovDepartment of Information technologies, Nukus branch of Tashkent University of Information technologies named after Muhammad al-Khwarizmi, Nukus, Uzbekistan gafurSh.A. YadgarovDepartment of Software Engineering, Nukus branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Nukus, Uzbekistan
2019 International Conference on Information Science and Communications Technologies (ICISCT)conference2019en
ABI
Аннотация
We considered a problem of reconstruction function in a strip, if we know the integrals of sought function in the family of straight-line segments with a given weight function of a special kind. We obtained an analytical representation of solution in the class of smooth finite functions, the uniqueness theorems for solution of the problem is proved. The stability estimate of solution in Sobolev spaces is presented, which implies its weakly ill-posedness. These theoretical results are used in order to recover the internal structure objects from their integral data. Numerical results and their graphical representation are given.
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Цитирования и источники
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