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

    Mifodijus Sapagovas Info
    Gene Kairytė Info
    Olga Štikonienė Info
    Artūras Štikonas Info
DOI: https://doi.org/10.3846/1392-6292.2007.12.131-142

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.

First Published Online: 14 Oct 2010

Keywords:

parabolic equation, nonlocal boundary conditions, the Peaceman‐Rachford method, alternating direction implicit method

How to Cite

Sapagovas, M., Kairytė, G., Štikonienė, O., & Štikonas, A. (2007). Alternating direction method for a two‐dimensional parabolic equation with a nonlocal boundary condition. Mathematical Modelling and Analysis, 12(1), 131-142. https://doi.org/10.3846/1392-6292.2007.12.131-142

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March 31, 2007
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Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2007-03-31

Issue

Vol 12 No 1 (2007)

Section

Articles

Copyright

Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Sapagovas, M., Kairytė, G., Štikonienė, O., & Štikonas, A. (2007). Alternating direction method for a two‐dimensional parabolic equation with a nonlocal boundary condition. Mathematical Modelling and Analysis, 12(1), 131-142. https://doi.org/10.3846/1392-6292.2007.12.131-142

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