NUMERICAL SOLUTION OF INTEGRAL EQUATIONS OF THE THIRD KIND WITH FIXED SINGULARITIES OF THE KERNEL

A linear integral equation of the third kind with fixed singularities in the kernel is studied. For its approximate solution in the space of generalized functions, a special generalized spline method is proposed and substantiated. Optimality of the method in order of accuracy is proved.

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Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025050095
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

NUMERICAL SOLUTION OF INTEGRAL EQUATIONS OF THE THIRD KIND WITH FIXED SINGULARITIES OF THE KERNEL

Н. С. Габбасов
Дифференциальные уравнения / Differential Equations
Differential Equations and Boundary Problems
article

NUMERICAL SOLUTION OF INTEGRAL EQUATIONS OF THE THIRD KIND WITH FIXED SINGULARITIES OF THE KERNEL

Н. С. Габбасов
article en

Abstract

A linear integral equation of the third kind with fixed singularities in the kernel is studied. For its approximate solution in the space of generalized functions, a special generalized spline method is proposed and substantiated. Optimality of the method in order of accuracy is proved.

Дифференциальные уравнения / Differential EquationsVol. 61(5)
Openalex Percentile: Top 62%
Differential Equations and Boundary Problems
DOISourceOpenAlex
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NUMERICAL SOLUTION OF INTEGRAL EQUATIONS OF THE THIRD KIND WITH FIXED SINGULARITIES OF THE KERNEL — Н. С. Габбасов · Дифференциальные уравнения / Differential Equations (2025) | TGRS Research Map | TGRS