Numerical Solution of Integral-Algebraic Equations with Weakly Singular Kernels by k−step Methods

Numerical Solution of Integral-Algebraic Equations with Weakly Singular Kernels by k−step Methods

In this paper we describe numerical methods for solution integral-algebraic equations wiht weakly singular kernels. Methods are based on explicit Adam’s methods, product integration methods for the integral part and on extrapolation formulas for the main part of the equation are proposed. We got wei...

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Bibliographic Details
Main Authors: M.V. Bulatov, O.S. Budnikova
Format: Article
Language:English
Published: Irkutsk State University 2015-09-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
integral-algebraic equations
multistep methods
Adam’s methods
weakly singular
numerical methods
Online Access:http://isu.ru/journal/downloadArticle?article=_9ba22b82030b42078881d45146067fd9&lang=rus
Description
Summary:In this paper we describe numerical methods for solution integral-algebraic equations wiht weakly singular kernels. Methods are based on explicit Adam’s methods, product integration methods for the integral part and on extrapolation formulas for the main part of the equation are proposed. We got weights of quadrature formulas. Presented results of numerical experiments.
ISSN:1997-7670
2541-8785

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