Method of lines for parabolic functional differential equations on cylindrical domains

Henryk Leszczyński , Milena Matusik


The numerical method of lines is a technique for solving partial differential equations by discretising in all but one dimension. In this paper the solution of the approximate problem is extended outside the domain using the boundary condition. This leads to functional differential-algebraic equations. Sufficient conditions for the well-posedness, stability and convergence of the resulting method of lines are given.
Author Henryk Leszczyński (FMPI / IM)
Henryk Leszczyński,,
- Institute of Mathematics
, Milena Matusik (FMPI / IM)
Milena Matusik,,
- Institute of Mathematics
Journal seriesCalcolo, ISSN 0008-0624, (A 25 pkt)
Issue year2016
Publication size in sheets0.75
Keywords in Englishmethod of lines, functional differential-algebraic equations, Robin boundary conditions
ASJC Classification2605 Computational Mathematics; 2602 Algebra and Number Theory
Languageen angielski
LicenseOther; published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)40
ScoreMinisterial score = 25.0, ArticleFromJournal
Ministerial score (2013-2016) = 40.0, ArticleFromJournal
Publication indicators WoS Citations = 1; Scopus SNIP (Source Normalised Impact per Paper): 2017 = 1.226; WoS Impact Factor: 2016 = 1.407 (2) - 2016=1.131 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.