Article

Inversion formula for the problem of integral geometry on families of parabolas

Niyetbay Uteuliev)Nukus branch of Tashkent University of Information Technologies, Nukus, UzbekistanGafur Djaykov)Nukus branch of Tashkent University of Information Technologies, Nukus, UzbekistanAbat Seidullaev2)Karakalpak State University, Nukus, Uzbekistan

AIP conference proceedingsjournal2021en

ABI

Abstract

In this paper, we consider the problems of integral geometry on families of parabolas. We examined the application of the integral geometry problem to seismic problems. We shall get the inverse formula for the problem of integral geometry on families of parabolas. Numerical experiments demonstrate the performance of the algorithm.

Topics

Numerical methods in inverse problems Algebraic and Geometric Analysis Differential Equations and Boundary Problems

Identifiers

DOI: 10.1063/5.0056852

Citations and references

Cited by 5 14 references

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