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Explicit and implicit difefrence methods for quasilinear first order partial functional differential equations.
Abstract
Initial boundary value problems of the Dirichlet type for quasilinear functional differential equations are considered. Explicit difference schemes of the Euler type and implicit difference methods are investigated. Suffcient conditions for the convergence of approximate solutions are given and comparisons of the methods are presented. It is proved that assumptions on the regularity of given functions are the same for both classes of the methods. It is shown that conditions on the mesh for explicit dierence schemes are more restrictive than suitable assumptions for implicit methods. Error estimates for both the methods are presented. Interpolating operator corresponding to functional variables is constructed.
Authors (2)
-
Zdzisław Kamont
- University of Gdańsk Institute of Mathematics
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
-
Computational Methods in Applied Mathematics
no. 14,
edition 2,
pages 151 - 175,
ISSN: 1609-9389 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Kamont Z., Szafrańska A.: Explicit and implicit difefrence methods for quasilinear first order partial functional differential equations.// Computational Methods in Applied Mathematics. -Vol. 14., iss. 2 (2014), s.151-175
- Verified by:
- Gdańsk University of Technology
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