Numerical Solution of Integral Equations with Fractional and Partial Integrals and Variable Integration Limits
- Authors: Kalitvin V.A.1
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Affiliations:
- Lipetsk State Pedagogical University
- Issue: Vol 219, No 1 (2016)
- Pages: 143-149
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238483
- DOI: https://doi.org/10.1007/s10958-016-3090-9
- ID: 238483
Cite item
Abstract
The method of mechanical quadratures is applied to linear Volterra integral equations with partial integrals among which there is an integral with an unbounded kernel. We construct numerical algorithms based on replacing integrals with quadrature formulas and prove the convergence.
About the authors
V. A. Kalitvin
Lipetsk State Pedagogical University
Author for correspondence.
Email: kalitvin@gmail.com
Russian Federation, 42, Lenina St., Lipetsk, 398020
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