A Reliable Numerical Method for the Singularly Perturbed Nonlinear Differential Equation With an Integral Boundary Condition
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ivane Javakhishvili Tbilisi State Univ
Abstract
This study purposes to present an efficient numerical method for the singularly perturbed nonlinear problems involving an integral boundary condition. Initially, some properties are given for the continuous problem. Then, using interpolating quadrature formulas [3], the finite difference scheme is established on the Bakhvalov-Shishkin mesh (B-S mesh). The error approximations of the suggested scheme are examined in the discrete maximum norm. Finally, some numerical examples are included to confirm the theory.
Description
Keywords
Bakhvalov-Shishkin Mesh, Error Analysis, Finite Difference Scheme, Singular Perturbation
Turkish CoHE Thesis Center URL
WoS Q
N/A
Scopus Q
Q4
Source
Volume
178
Issue
3
Start Page
381
End Page
391