Error analysis of the numerical solution of split differential equations

P. Csomós, I. Faragó

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The operator splitting method is a widely used approach for solving partial differential equations describing physical processes. Its application usually requires the use of certain numerical methods in order to solve the different split sub-problems. The error analysis of such a numerical approach is a complex task. In the present paper we show that an interaction error appears in the numerical solution when an operator splitting procedure is applied together with a lower-order numerical method. The effect of the interaction error is investigated by an analytical study and by numerical experiments made for a test problem.

Original languageEnglish
Pages (from-to)1090-1106
Number of pages17
JournalMathematical and Computer Modelling
Volume48
Issue number7-8
DOIs
Publication statusPublished - Oct 1 2008

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Keywords

  • Error analysis
  • Numerical simulation
  • Operator splitting procedures

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computer Science Applications

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