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Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods

Research output: Contribution to journalArticlepeer-review

62 Scopus citations

Abstract

Boundary value problems for loaded ordinary and partial differential equations are considered. A priori bounds are obtained for solutions to differential and difference equations. These bounds imply the stability and convergence of difference schemes for the equations under consideration.

Original languageEnglish
Pages (from-to)1581-1590
Number of pages10
JournalComputational Mathematics and Mathematical Physics
Volume48
Issue number9
DOIs
StatePublished - Sep 2008
Externally publishedYes

Keywords

  • A priori bound
  • Boundary value problems
  • Difference scheme
  • Loaded differential equation
  • Stability and convergence of difference schemes

ASJC Scopus subject areas

  • Computational Mathematics

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