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Mathematical Modelling and Analysis Volume 12, 2007 - Issue 1
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Original Articles

Alternating direction method for a two‐dimensional parabolic equation with a nonlocal boundary condition

M. Sapagovas Institute of Mathematics and Informatics, Akademijos 4, Vilnius, LT‐03225, Lithuania E-mail: [email protected]
,
G. Kairyte Institute of Mathematics and Informatics, Akademijos 4, Vilnius, LT‐03225, Lithuania
,
O. Štikoniene Institute of Mathematics and Informatics, Akademijos 4, Vilnius, LT‐03225, Lithuania E-mail: [email protected]
&
A. Štikonas Institute of Mathematics and Informatics, Akademijos 4, Vilnius, LT‐03225, Lithuania E-mail: [email protected]
Pages 131-142 | Received 01 Oct 2006, Published online: 14 Oct 2010
 
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Abstract

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.

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Related Research Data

Semi-Implicit Difference Scheme for a Two-Dimensional Parabolic Equation with an Integral Boundary Condition
Source: Vilnius Tech Press Technika
On the stability of a difference scheme for a two-dimensional parabolic equation with an integral condition*
Source: Springer Science and Business Media LLC
Alternating direction method for the Poisson equation with variable weight coefficients in an integral condition
Source: Pleiades Publishing Ltd
On the spectral properties of three-layer difference schemes for parabolic equations with nonlocal conditions
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