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A Reliable Numerical Method for the Singularly Perturbed Nonlinear Differential Equation With an Integral Boundary Condition

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Date

2024

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