Article
2025
·
0 citations
A Robust Numerical Method for the Singularly Perturbed Integro-Differential Equations
Abstract
In the present study, NIM is given to approximate the solution of SPFIDEs. As a first step, the FDM on a uniform mesh is used, followed by the TM for integrals. After these calculations, the difference equation is obtained in the form of a system of equations. This system of equations is solved with the TA. Finally, example applications are made, showing the accuracy and economics of the presented method.
Keywords
Singularly Perturbed Problem(SPP)
Fredholm Integro-Differential Equation(FIDE)
Numerical Integration Method(NIM)
Finite difference Method(FDM)
Thomas Algorithm(TA)
WoS Categories
Multidisciplinary Sciences
Citation
- Journal
- GAZI UNIVERSITY JOURNAL OF SCIENCE
- Year
- 2025
- Volume
- 38
- Issue
- 1
- Pages
- 267-273
- ISSN
- 2147-1762
- DOI
- 10.35378/gujs.1498203
- WoS UID
- WOS:001441442000008