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Weighted difference schemes for systems of quasilinear first order partial functional differential equations
Abstract
The paper deals with initial boundary value problems of the Dirichlet type for system of quasilinear functional differential equations. We investigate weighted difference methods for these problems. A complete convergence analysis of the considered difference methods is given. Nonlinear estimates of the Perron type with respect to functional variables for given functions are assumed. The proof of the stability of difference problems is based on a comparison technique. The results obtained here can be applied to differential integral problems and differential equations with deviated variables. Numerical examples are presented.
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- DOI:
- Digital Object Identifier (open in new tab) 10.14708/ma.v43i2.708
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
-
Mathematica Applicanda (Matematyka Stosowana)
no. 43,
pages 225 - 251,
ISSN: 1730-2668 - Language:
- English
- Publication year:
- 2015
- Bibliographic description:
- Szafrańska A.: Weighted difference schemes for systems of quasilinear first order partial functional differential equations// Mathematica Applicanda (Matematyka Stosowana). -Vol. 43., nr. 2 (2015), s.225-251
- DOI:
- Digital Object Identifier (open in new tab) 10.14708/ma.v43i2.708
- Verified by:
- Gdańsk University of Technology
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