ORDER-OPTIMAL DIRECT METHOD FOR SOLVING OF SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS

A linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution in the space of generalized functions, special generalized version of spline method are proposed and justified. The optimality in the order of accuracy of the method constructed is established.

Authors

Institutions

Publication Details

Journal
Дифференциальные уравнения
Published
2024-10-10
DOI
https://doi.org/10.31857/s0374064124070036
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

ORDER-OPTIMAL DIRECT METHOD FOR SOLVING OF SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS

Н. С. Габбасов
Дифференциальные уравнения
Differential Equations and Numerical Methods
article

ORDER-OPTIMAL DIRECT METHOD FOR SOLVING OF SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS

Н. С. Габбасов
article en

Abstract

A linear integro-differential equation with a singular differential operator in the principal part is studied. For its approximate solution in the space of generalized functions, special generalized version of spline method are proposed and justified. The optimality in the order of accuracy of the method constructed is established.

Дифференциальные уравненияVol. 60(7)
Kazan Federal University (RU)
Openalex Percentile: Top 73%
Differential Equations and Numerical Methods
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.