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This article is cited in 3 scientific papers (total in 3 papers)
On a system of Volterra integral equations with a weakly singular kernel
M. Ghiata, S. Kamouchea, A. Khellafa, W. Merchelab a Université 8 Mai 1945 - Guelma
b Tambov State University named after G.R. Derzhavin
Abstract:
In this paper, we examine the existence and uniqueness of solutions for a system of Volterra integral equations with a weakly singular kernel. We approximate the solution of this system using the product integration method. The accuracy and efficiency of this method are illustrated in some numerical examples.
Keywords:
nonlinear Volterra integral equation, integro-differential equation, fixed point, product integration method.
Citation:
M. Ghiat, S. Kamouche, A. Khellaf, W. Merchela, “On a system of Volterra integral equations with a weakly singular kernel”, Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 193, VINITI, Moscow, 2021, 33–44
Linking options:
https://www.mathnet.ru/eng/into799 https://www.mathnet.ru/eng/into/v193/p33
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Abstract page: | 183 | Full-text PDF : | 107 | References: | 26 |
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