L∞ error estimate of a finite difference approximation method for semilinear PDEs

Messaoud Boulbrachene

doi:10.12988/ijma.2013.3110

L^∞ error estimate of a finite difference approximation method for semilinear PDEs

Messaoud Boulbrachene^*

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

The paper deals with finite difference approximation for a class of semilinear elliptic problems.We establish optimal L^∞ error estimate of the 5-point scheme making use of the Banach's fixed point principle.

Original language	English
Pages (from-to)	1761-1764
Number of pages	4
Journal	International Journal of Mathematical Analysis
Volume	7
Issue number	33-36
DOIs	https://doi.org/10.12988/ijma.2013.3110
Publication status	Published - 2013

Keywords

Banach fixed point principle
Error estimate
Finite difference approximation
Semilinear ODE

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.12988/ijma.2013.3110

Cite this

@article{da43296870fe44a5a5c9ebcf7fcef388,

title = "L∞ error estimate of a finite difference approximation method for semilinear PDEs",

abstract = "The paper deals with finite difference approximation for a class of semilinear elliptic problems.We establish optimal L∞ error estimate of the 5-point scheme making use of the Banach's fixed point principle.",

keywords = "Banach fixed point principle, Error estimate, Finite difference approximation, Semilinear ODE",

author = "Messaoud Boulbrachene",

year = "2013",

doi = "10.12988/ijma.2013.3110",

language = "English",

volume = "7",

pages = "1761--1764",

journal = "International Journal of Mathematical Analysis",

issn = "1312-8876",

publisher = "Hikari Ltd.",

number = "33-36",

}

TY - JOUR

T1 - L∞ error estimate of a finite difference approximation method for semilinear PDEs

AU - Boulbrachene, Messaoud

PY - 2013

Y1 - 2013

N2 - The paper deals with finite difference approximation for a class of semilinear elliptic problems.We establish optimal L∞ error estimate of the 5-point scheme making use of the Banach's fixed point principle.

AB - The paper deals with finite difference approximation for a class of semilinear elliptic problems.We establish optimal L∞ error estimate of the 5-point scheme making use of the Banach's fixed point principle.

KW - Banach fixed point principle

KW - Error estimate

KW - Finite difference approximation

KW - Semilinear ODE

UR - http://www.scopus.com/inward/record.url?scp=84878630471&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878630471&partnerID=8YFLogxK

U2 - 10.12988/ijma.2013.3110

DO - 10.12988/ijma.2013.3110

M3 - Article

AN - SCOPUS:84878630471

SN - 1312-8876

VL - 7

SP - 1761

EP - 1764

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

IS - 33-36

ER -