Implicit difference schemes for quasilinear parabolic functional equations

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Abstract: We present a new class of numerical methods for quasilinear parabolic functional differential equations with initial boundary conditions of the Robin type. The numerical methods are difference schemes which are implicit with respect to time variable. We give a complete convergence analysis for the methods and we show that the new methods are considerable better than the explicit schemes. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type for given functions with respect to functional variables. Results obtained in the paper can be applied to differential equations with deviated variables and to differential integral problems.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Implicit difference schemes for quasilinear parabolic functional equations ; volume:45 ; number:4 ; year:2012 ; pages:869-886 ; extent:18
Demonstratio mathematica ; 45, Heft 4 (2012), 869-886 (gesamt 18)

Urheber
Matusik, Milena

DOI
10.1515/dema-2013-0406
URN
urn:nbn:de:101:1-2411171655108.825178837671
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
15.08.2025, 07:30 MESZ

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Beteiligte

  • Matusik, Milena

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