On the Collocation Method in Constructing a Solution to the Volterra Integral Equation of the Second Kind Using Chebyshev and Legendre Polynomials

The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand in the equations considered in this work is r...

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Bibliographic Details
Main Authors: O.V. Germider, V. N. Popov
Format: Article
Language:English
Published: Irkutsk State University 2024-12-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
Online Access:https://mathizv.isu.ru/en/article/file?id=1507