Explicit Difference Schemes for Nonlinear Differential Functional Parabolic Equations with Mixed Derivatives - Convergence Analysis

Artur Poliński. "Explicit Difference Schemes for Nonlinear Differential Functional Parabolic Equations with Mixed Derivatives - Convergence Analysis." Commentationes Mathematicae 45.2 (2005): null. <http://eudml.org/doc/291466>.

@article{ArturPoliński2005,
abstract = {We study the initial-value problem for parabolic equations with mixed partial derivatives and constant 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 = {Artur Poliński},
journal = {Commentationes Mathematicae},
keywords = {Finite difference; stability; parabolic; nonlocal},
language = {eng},
number = {2},
pages = {null},
title = {Explicit Difference Schemes for Nonlinear Differential Functional Parabolic Equations with Mixed Derivatives - Convergence Analysis},
url = {http://eudml.org/doc/291466},
volume = {45},
year = {2005},
}

TY - JOUR
AU - Artur Poliński
TI - Explicit Difference Schemes for Nonlinear Differential Functional Parabolic Equations with Mixed Derivatives - Convergence Analysis
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 2
SP - null
AB - We study the initial-value problem for parabolic equations with mixed partial derivatives and constant 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; parabolic; nonlocal
UR - http://eudml.org/doc/291466
ER -