Email this article The Inverse Problem for an Integro-Differential Equation and its Solution Method
- Authors: Denisov A.M.1, Efimov A.A.1
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
- Issue: Vol 30, No 4 (2019)
- Pages: 403-412
- Section: Article
- URL: https://journal-vniispk.ru/1046-283X/article/view/247949
- DOI: https://doi.org/10.1007/s10598-019-09466-7
- ID: 247949
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Abstract
The inverse problem of the determination of the unknown coefficient in an integro-differential equation is considered. Existence and uniqueness theorems are proved for the inverse problem. A numerical method for the determination of the unknown coefficient is proposed and substantiated. Numerical results illustrating the convergence of the method are reported.
About the authors
A. M. Denisov
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
Author for correspondence.
Email: den@cs.msu.ru
Russian Federation, Moscow
A. A. Efimov
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
Email: den@cs.msu.ru
Russian Federation, Moscow
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