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On the stability and convergence of nonlocal difference schemes

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We study nonlocal boundary value problems of the first and second kind for the heat equation with variable coefficients in the differential and finite-difference settings. By using the method of energy inequalities, we obtain a priori estimates for the corresponding differential and finite-difference problems.

Original languageEnglish
Pages (from-to)949-961
Number of pages13
JournalDifferential Equations
Volume46
Issue number7
DOIs
StatePublished - 2010
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • General Mathematics

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