| Title |
Numerical investigation of alternating-direction method for Poisson equation with weighted integral conditions |
| Translation of Title |
Kintamųjų krypčių metodo ketvirtos eilės tikslumo Puasono baigtinių skirtumų lygčiai su integralinėmis sąlygomis skaitinė analizė. |
| Authors |
Štikonienė, Olga ; Sapagovas, Mifodijus |
| DOI |
10.15388/LMR.2010.14665 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. LMD darbai.. Vilnius : Matematikos ir informatikos institutas. 2010, t. 51, p. 385-390.. ISSN 0132-2818 |
| Keywords [eng] |
Elliptic equation ; Nonlocal integral conditions ; Finite-difference method ; Alternating-direction method ; Convergence of iterative method |
| Abstract [eng] |
The present paper deals with a generalization of the alternating-direction implicit (ADI) method for a two dimensional Poisson equation in a rectangle domain with a weighted integral boundary condition in one coordinate direction. We consider the alternating direction method for a system of difference equations that approximates Poisson equation with weighed integral boundary conditions with the fourth-order accuracy. Sufficient conditions of stability for ADI method are investigated numerically. An analysis of results of computational experiments is presented. |
| Published |
Vilnius : Matematikos ir informatikos institutas |
| Type |
Journal article |
| Language |
English |
| Publication date |
2010 |
| CC license |
|
