Difference methods for parabolic functional differential problems of the Neumann type

K. Kropielnicka. "Difference methods for parabolic functional differential problems of the Neumann type." Annales Polonici Mathematici 92.2 (2007): 163-178. <http://eudml.org/doc/280856>.

@article{K2007,
abstract = {Nonlinear parabolic functional differential equations with initial boundary conditions of the Neumann type are considered. A general class of difference methods for the problem is constructed. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is 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 = {Annales Polonici Mathematici},
keywords = {stability; convergence; nonlinear parabolic functional differential equation; finite difference scheme; error estimates; numerical examples},
language = {eng},
number = {2},
pages = {163-178},
title = {Difference methods for parabolic functional differential problems of the Neumann type},
url = {http://eudml.org/doc/280856},
volume = {92},
year = {2007},
}

TY - JOUR
AU - K. Kropielnicka
TI - Difference methods for parabolic functional differential problems of the Neumann type
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 2
SP - 163
EP - 178
AB - Nonlinear parabolic functional differential equations with initial boundary conditions of the Neumann type are considered. A general class of difference methods for the problem is constructed. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is 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 - stability; convergence; nonlinear parabolic functional differential equation; finite difference scheme; error estimates; numerical examples
UR - http://eudml.org/doc/280856
ER -