Proceedings of the 2016 International Conference on Advanced Electronic Science and Technology (AEST 2016)

A finite difference method for heat equation in the unbounded domain

Authors
Quan Zheng, Xin Zhao
Corresponding Author
Quan Zheng
Available Online November 2016.
DOI
https://doi.org/10.2991/aest-16.2016.51How to use a DOI?
Keywords
non-homogeneous heat equation; unbounded domain; artificial boundary condition; finite difference method; error estimate.
Abstract
The numerical method of the one-dimensional non-homogeneous heat equation on an unbounded domain is considered. Two exact artificial boundary conditions are applied on two artificial boundaries to limit the original problem onto a bounded computational domain. Then the finite difference method is developed by using the method of the reduction of order for the control equation and artificial boundary conditions. It is proved that the finite difference scheme is stable and convergent with the order 2 in space and order 3/2 in time under an energy norm. A non-homogeneous numerical example demonstrates the unconditional stability and the accuracy of the algorithm.
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Proceedings
2016 International Conference on Advanced Electronic Science and Technology (AEST 2016)
Part of series
Advances in Intelligent Systems Research
Publication Date
November 2016
ISBN
978-94-6252-257-2
ISSN
1951-6851
DOI
https://doi.org/10.2991/aest-16.2016.51How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Quan Zheng
AU  - Xin Zhao
PY  - 2016/11
DA  - 2016/11
TI  - A finite difference method for heat equation in the unbounded domain
BT  - 2016 International Conference on Advanced Electronic Science and Technology (AEST 2016)
PB  - Atlantis Press
SP  - 387
EP  - 392
SN  - 1951-6851
UR  - https://doi.org/10.2991/aest-16.2016.51
DO  - https://doi.org/10.2991/aest-16.2016.51
ID  - Zheng2016/11
ER  -