Geodesic
Weighted difference schemes for systems of quasilinear first order partial functional differential equations
Mathematica Applicanda, Tome 43 (2015) no. 2, pp. 225-251.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/ma.v43i2.708
Classification : 35R10, 65M12, 65M15
Mots-clés : initial boundary value problems, difference methods, stability and convergence, interpolating operators, error estimates, comparison methods 
@article{10_14708_ma_v43i2_708,
     author = {Anna Szafra\'nska},
     title = {Weighted difference schemes for systems of quasilinear first order partial functional differential equations},
     journal = {Mathematica Applicanda},
     pages = { 225--251},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2015},
     doi = {10.14708/ma.v43i2.708},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v43i2.708/}
}
TY  - JOUR
AU  - Anna Szafrańska
TI  - Weighted difference schemes for systems of quasilinear first order partial functional differential equations
JO  - Mathematica Applicanda
PY  - 2015
SP  -  225
EP  - 251
VL  - 43
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v43i2.708/
DO  - 10.14708/ma.v43i2.708
LA  - pl
ID  - 10_14708_ma_v43i2_708
ER  - 
%0 Journal Article
%A Anna Szafrańska
%T Weighted difference schemes for systems of quasilinear first order partial functional differential equations
%J Mathematica Applicanda
%D 2015
%P  225-251
%V 43
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v43i2.708/
%R 10.14708/ma.v43i2.708
%G pl
%F 10_14708_ma_v43i2_708
Anna Szafrańska. Weighted difference schemes for systems of quasilinear first order partial functional differential equations. Mathematica Applicanda, Tome 43 (2015) no. 2, pp.  225-251. doi : 10.14708/ma.v43i2.708. http://geodesic.mathdoc.fr/articles/10.14708/ma.v43i2.708/

Cité par Sources :