Difference functional inequalities and applications

Difference functional inequalities and applications

The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based...

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Bibliographic Details
Main Author: Anna Szafrańska
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2014-01-01
Series:Opuscula Mathematica
Subjects:
initial boundary value problems
difference functional inequalities
difference methods
stability and convergence
interpolating operators
error estimates
Online Access:http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3425.pdf
Description
Summary:The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
ISSN:1232-9274

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