Convergence Analysis of the Numerical Method for a Singularly Perturbed Periodical Boundary Value Problem

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Date

2016

Journal Title

Journal ISSN

Volume Title

Publisher

int Scientific Research Publications

Abstract

This work deals with the singularly perturbed periodical boundary value problem for a quasilinear second-order differential equation. The numerical method is constructed on piecewise uniform Shishkin type mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results supporting the theory are presented. (C) 2016 All rights reserved.

Description

Keywords

Singular Perturbation, Periodical Problem, Fitted Difference Method, Uniformly Convergent, Boundary Layer

WoS Q

N/A

Scopus Q

Q3

Source

Volume

16

Issue

2

Start Page

248

End Page

255