On an Algorithm for the Numerical Solution of Integral-Algebraic Equations

The article addresses linear systems of Volterra integral equations with sufficiently smooth input data and an identically degenerate matrix in front of the main part. Difficulties arising in the qualitative study of these problems and the construction of numerical methods for their solution are emp...

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Bibliographic Details
Published in:	Lobachevskii journal of mathematics Vol. 44; no. 2; pp. 542 - 547
Main Author:	Bulatov, M. V.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.02.2023
Subjects:	Algebra Analysis Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes integral-algebraic equations quadrature formulas collocation matrix pencils lagrange multiplier method
ISSN:	1995-0802, 1818-9962
Online Access:	Get full text
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Summary:	The article addresses linear systems of Volterra integral equations with sufficiently smooth input data and an identically degenerate matrix in front of the main part. Difficulties arising in the qualitative study of these problems and the construction of numerical methods for their solution are emphasized. The class of systems under consideration that have a unique sufficiently smooth solution is singled out in terms of matrix pencils. The simplest family of collocation-variational algorithms for this type of problem is proposed. The numerical calculations of model examples are presented.
ISSN:	1995-0802 1818-9962
DOI:	10.1134/S1995080223020129