Implicit difference methods for quasilinear parabolic functional differential problems of the Dirichlet type

K. Kropielnicka. "Implicit difference methods for quasilinear parabolic functional differential problems of the Dirichlet type." Applicationes Mathematicae 35.2 (2008): 155-175. <http://eudml.org/doc/279948>.

@article{K2008,
abstract = {Classical solutions of quasilinear functional differential equations are approximated with solutions of implicit difference schemes. Proofs of convergence of the difference methods are based on a comparison technique. Nonlinear estimates of the Perron type with respect to the functional variable for given functions are used. Numerical examples are given.},
author = {K. Kropielnicka},
journal = {Applicationes Mathematicae},
keywords = {implicit difference methods; stablity; convergence; quasilinear parabolic functional differential problems; Dirichlet type; numerical examples},
language = {eng},
number = {2},
pages = {155-175},
title = {Implicit difference methods for quasilinear parabolic functional differential problems of the Dirichlet type},
url = {http://eudml.org/doc/279948},
volume = {35},
year = {2008},
}

TY - JOUR
AU - K. Kropielnicka
TI - Implicit difference methods for quasilinear parabolic functional differential problems of the Dirichlet type
JO - Applicationes Mathematicae
PY - 2008
VL - 35
IS - 2
SP - 155
EP - 175
AB - Classical solutions of quasilinear functional differential equations are approximated with solutions of implicit difference schemes. Proofs of convergence of the difference methods are based on a comparison technique. Nonlinear estimates of the Perron type with respect to the functional variable for given functions are used. Numerical examples are given.
LA - eng
KW - implicit difference methods; stablity; convergence; quasilinear parabolic functional differential problems; Dirichlet type; numerical examples
UR - http://eudml.org/doc/279948
ER -