Implicit Difference Inequalities Corresponding to First-Order Partial Differential Functional Equations
Joint Authors
Source
Journal of Applied Mathematics and Stochastic Analysis
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-03-16
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We give a theorem on implicit difference functional inequalities generated by mixed problems for nonlinear systems of first-order partial differential functional equations.
We apply this result in the investigations of the stability of difference methods.
Classical solutions of mixed problems are approximated in the paper by solutions of suitable implicit difference schemes.
The proof of the convergence of difference method is based on comparison technique, and the result on difference functional inequalities is used.
Numerical examples are presented.
American Psychological Association (APA)
Kamont, Z.& Kropielnicka, K.. 2009. Implicit Difference Inequalities Corresponding to First-Order Partial Differential Functional Equations. Journal of Applied Mathematics and Stochastic Analysis،Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-457785
Modern Language Association (MLA)
Kamont, Z.& Kropielnicka, K.. Implicit Difference Inequalities Corresponding to First-Order Partial Differential Functional Equations. Journal of Applied Mathematics and Stochastic Analysis No. 2009 (2009), pp.1-18.
https://search.emarefa.net/detail/BIM-457785
American Medical Association (AMA)
Kamont, Z.& Kropielnicka, K.. Implicit Difference Inequalities Corresponding to First-Order Partial Differential Functional Equations. Journal of Applied Mathematics and Stochastic Analysis. 2009. Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-457785
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457785