Open AccessALTERNATING DIRECTION METHOD FOR A TWO-DIMENSIONAL PARABOLIC EQUATION WITH A NONLOCAL BOUNDARY CONDITION
Author(s) -
Mifodijus Sapagovas,
G. Kairytė,
Olga Štikonienė,
Artūras Štikonas
Publication year - 2007
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/1392-6292.2007.12.131-142
Subject(s) - rectangle , mathematics , mathematical analysis , alternating direction implicit method , domain (mathematical analysis) , boundary value problem , boundary (topology) , stability (learning theory) , parabolic partial differential equation , geometry , partial differential equation , finite difference method , computer science , machine learning
The present paper deals with an alternating direction implicit method for a two dimensional parabolic equation in a rectangle domain with a nonlocal boundary condition in one direction. Sufficient conditions of stability for Peaceman‐Rachford method are established. Results of some numerical experiments are presented.