Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type

Roman Ciarski. "Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type." Annales Polonici Mathematici 84.2 (2004): 103-119. <http://eudml.org/doc/280196>.

@article{RomanCiarski2004,
abstract = {The aim of this paper is to present a numerical approximation for quasilinear parabolic differential functional equations with initial boundary conditions of the Neumann type. The convergence result is proved for a difference scheme with the property that the difference operators approximating mixed derivatives depend on the local properties of the coefficients of the differential equation. A numerical example is given.},
author = {Roman Ciarski},
journal = {Annales Polonici Mathematici},
keywords = {Neumann boundary condition; quasilinear parabolic differential functional equations; convergence; difference scheme; numerical example},
language = {eng},
number = {2},
pages = {103-119},
title = {Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type},
url = {http://eudml.org/doc/280196},
volume = {84},
year = {2004},
}

TY - JOUR
AU - Roman Ciarski
TI - Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type
JO - Annales Polonici Mathematici
PY - 2004
VL - 84
IS - 2
SP - 103
EP - 119
AB - The aim of this paper is to present a numerical approximation for quasilinear parabolic differential functional equations with initial boundary conditions of the Neumann type. The convergence result is proved for a difference scheme with the property that the difference operators approximating mixed derivatives depend on the local properties of the coefficients of the differential equation. A numerical example is given.
LA - eng
KW - Neumann boundary condition; quasilinear parabolic differential functional equations; convergence; difference scheme; numerical example
UR - http://eudml.org/doc/280196
ER -