Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis

A. Poliński. "Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis." Annales Polonici Mathematici 88.2 (2006): 97-111. <http://eudml.org/doc/281069>.

@article{A2006,
abstract = {We study the initial-value problem for parabolic equations with time dependent coefficients and with nonlinear and nonlocal right-hand sides. Nonlocal terms appear in the unknown function and its gradient. We analyze convergence of explicit finite difference schemes by means of discrete fundamental solutions.},
author = {A. Poliński},
journal = {Annales Polonici Mathematici},
keywords = {finite difference; stability; nonlocal right-hand sides; convergence},
language = {eng},
number = {2},
pages = {97-111},
title = {Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis},
url = {http://eudml.org/doc/281069},
volume = {88},
year = {2006},
}

TY - JOUR
AU - A. Poliński
TI - Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 2
SP - 97
EP - 111
AB - We study the initial-value problem for parabolic equations with time dependent coefficients and with nonlinear and nonlocal right-hand sides. Nonlocal terms appear in the unknown function and its gradient. We analyze convergence of explicit finite difference schemes by means of discrete fundamental solutions.
LA - eng
KW - finite difference; stability; nonlocal right-hand sides; convergence
UR - http://eudml.org/doc/281069
ER -