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

Roman Ciarski

Annales Polonici Mathematici (2004)

  • Volume: 84, Issue: 2, page 103-119
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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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 -

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