An Innovative Technique for Solving Singularly Perturbed Problems With Integral Boundary Conditions on the Non-Uniform Mesh
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Date
2025
Journal Title
Journal ISSN
Volume Title
Publisher
Prof. Dr. Mehmet Zeki Sarıkaya
Abstract
We investigate an innovative numerical method for solving linear singularly perturbed problems with integral boundary conditions. Firstly, proving a uniformly convergent numerical method for solving the singularly perturbed problem is the main goal of this problem. Secondly, a piecewise equidistant mesh is used to generate the finite difference scheme. Next, the difference technique’s stability and convergence analysis are covered. Lastly, two test instances’ numerical results are shown. © 2025, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.
Description
Keywords
Integral Boundary, Linear Singularly Perturbed Problem, Non-Uniform Mesh, Numerical Method
Turkish CoHE Thesis Center URL
WoS Q
N/A
Scopus Q
N/A
Source
Konuralp Journal of Mathematics
Volume
13
Issue
1
Start Page
50
End Page
59