Stability of Implicit Difference Equations Generated by Parabolic Functional Differential Problems

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Abstract: A general class of implicit difference methods for nonlinear parabolic functional differential equations with initial boundary conditions of the Neumann type is constructed. Convergence results are proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of Perron type with respect to functional variables. Differential equations with deviated variables and differential integral problems can be obtained from a general model by specializing given operators. The results are illustrated by numerical examples.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Stability of Implicit Difference Equations Generated by Parabolic Functional Differential Problems ; volume:7 ; number:1 ; year:2007 ; pages:68-82
Computational methods in applied mathematics ; 7, Heft 1 (2007), 68-82

Creator: Kropielnicka, K.

DOI: 10.2478/cmam-2007-0004

URN: urn:nbn:de:101:1-2410261625351.218767208756

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:21 AM CEST

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Kropielnicka, K.

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Stability of Implicit Difference Equations Generated by Parabolic Functional Differential Problems

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Other Objects (12)

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