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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1761-1764
Number of pages4
JournalInternational Journal of Mathematical Analysis
Volume7
Issue number33-36
DOIs
Publication statusPublished - 2013

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Semilinear Elliptic Problem
Finite Difference Approximation
Stefan Banach
Approximation Methods
Semilinear
Difference Method
Error Estimates
Fixed point
Class

Keywords

  • Banach fixed point principle
  • Error estimate
  • Finite difference approximation
  • Semilinear ODE

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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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",
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year = "2013",
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