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This article is cited in 5 scientific papers (total in 5 papers)
Solution of the convolution type Volterra integral equations
of the first kind by the quadrature-sum method
A. L. Karchevsky Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia, Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
Abstract:
Some algorithm is presented for solving the convolution type Volterra integral equation of the first kind by the quadrature-sum method. We assume that the integral equation of the first kind cannot be reduced to an integral equation of the second kind
but we do not assume that either the kernel or some of its derivatives at zero are unequal to zero. For the relations we propose there is given an estimate of the error of the calculated solution. Some examples of numerical experiments are presented
to demonstrate the efficiency of the algorithm.
Keywords:
integral Volterra equation, convolution type equation, numerical solution.
Received: 24.04.2020 Revised: 10.07.2020 Accepted: 16.07.2020
Citation:
A. L. Karchevsky, “Solution of the convolution type Volterra integral equations
of the first kind by the quadrature-sum method”, Sib. Zh. Ind. Mat., 23:3 (2020), 40–52; J. Appl. Industr. Math., 14:3 (2020), 503–512
Linking options:
https://www.mathnet.ru/eng/sjim1097 https://www.mathnet.ru/eng/sjim/v23/i3/p40
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Abstract page: | 288 | Full-text PDF : | 194 | References: | 36 | First page: | 16 |
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