# The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary

Mathematica Applicanda (1987)

- Volume: 16, Issue: 30
- ISSN: 1730-2668

## Access Full Article

top## Abstract

top## How to cite

topGrażyna Morawiec. "The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary." Mathematica Applicanda 16.30 (1987): null. <http://eudml.org/doc/293160>.

@article{GrażynaMorawiec1987,

abstract = {The author describes a construction of the positive difference scheme, which is the approximation of the Dirichlet problem for an elliptic second order equation with mixed derivatives in an arbitrary region in R2. The a priori estimation for the approximate solution is proved and the estimation of the rate of convergence in maximum norm is established.},

author = {Grażyna Morawiec},

journal = {Mathematica Applicanda},

keywords = {Derivation of finite difference approximations; Error bounds},

language = {eng},

number = {30},

pages = {null},

title = {The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary},

url = {http://eudml.org/doc/293160},

volume = {16},

year = {1987},

}

TY - JOUR

AU - Grażyna Morawiec

TI - The finite difference approximation for the Dirichlet problem with a non-uniform mesh on a boundary

JO - Mathematica Applicanda

PY - 1987

VL - 16

IS - 30

SP - null

AB - The author describes a construction of the positive difference scheme, which is the approximation of the Dirichlet problem for an elliptic second order equation with mixed derivatives in an arbitrary region in R2. The a priori estimation for the approximate solution is proved and the estimation of the rate of convergence in maximum norm is established.

LA - eng

KW - Derivation of finite difference approximations; Error bounds

UR - http://eudml.org/doc/293160

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.