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Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers

Authors :
DURMAZ, Muhammet Enes
ÇAKIR, Musa
AMİRALİ, Gabil
Source :
Volume: 71, Issue: 4 954-967, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Publication Year :
2022
Publisher :
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 2022.

Abstract

The work handles a Fredholm integro-differential equation involving boundary layers. A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions. The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.

Details

ISSN :
13035991 and 26186470
Volume :
71
Database :
OpenAIRE
Journal :
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Accession number :
edsair.doi.dedup.....1d9768acb060c7ec2705297121eaa5ae
Full Text :
https://doi.org/10.31801/cfsuasmas.1072728