A Second Order Fitted Numerical Method for a Singularly Perturbed Problem With an Integral Boundary Condition
No Thumbnail Available
Date
2025
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Birkhauser
Abstract
This study provides the new discretization for the singularly perturbed problems with an integral boundary condition. Firstly, some properties of the continuous problem are given. Next, using the interpolating quadrature formulas (Amiraliyev and Mamedov in Turk J Math 19(3):207–222, 1995) and linear basis functions, the second-order difference scheme is generated on Shishkin-type mesh. The convergence and error approximations of the proposed scheme are analyzed. Two numerical examples are included to support the theoretical results. © 2025 Elsevier B.V., All rights reserved.
Description
Keywords
Finite Difference Scheme, Shishkin-Type Mesh, Singular Perturbation, Uniform Convergence
Turkish CoHE Thesis Center URL
WoS Q
Q1
Scopus Q
Q2
Source
Mediterranean Journal of Mathematics
Volume
22
Issue
7
Start Page
End Page
Collections
