Weighted difference schemes for systems of quasilinear first order partial functional differential equations

Anna Szafrańska. "Weighted difference schemes for systems of quasilinear first order partial functional differential equations." Mathematica Applicanda 43.2 (2015): null. <http://eudml.org/doc/293142>.

@article{AnnaSzafrańska2015,
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.},
author = {Anna Szafrańska},
journal = {Mathematica Applicanda},
keywords = {initial boundary value problems, difference methods, stability and convergence, interpolating operators, error estimates, comparison methods},
language = {eng},
number = {2},
pages = {null},
title = {Weighted difference schemes for systems of quasilinear first order partial functional differential equations},
url = {http://eudml.org/doc/293142},
volume = {43},
year = {2015},
}

TY - JOUR
AU - Anna Szafrańska
TI - Weighted difference schemes for systems of quasilinear first order partial functional differential equations
JO - Mathematica Applicanda
PY - 2015
VL - 43
IS - 2
SP - null
AB - 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.
LA - eng
KW - initial boundary value problems, difference methods, stability and convergence, interpolating operators, error estimates, comparison methods
UR - http://eudml.org/doc/293142
ER -