Proceedings of the 2012 National Conference on Information Technology and Computer Science

Solving linear PDEs with the aid of two-dimensional Legendre wavelets

Authors
Fukang Yin, Junqiang Song
Corresponding Author
Fukang Yin
Available Online November 2012.
DOI
https://doi.org/10.2991/citcs.2012.181How to use a DOI?
Keywords
two-dimensional, Legendre wavelets, operational matrix, integration, PDEs
Abstract
In this paper, we develop a method, which using twodimensional Legendre wavelets, to solve linear PDEs. Based on the properties of shifted Legendre polynomials, we give a brief proof about the general procedure of two-dimensional operational matrices of integration, and then employ aforementioned matrices to find the solution of the PDEs. The proposed method is mathematically simple and fast. To demonstrate the efficiency of the method, two test problems (solution of the diffusion, Poisson) are discussed. The experimental results showed that the accuracy of the method is very high and only need a small number of collocation points
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Proceedings
2012 National Conference on Information Technology and Computer Science
Part of series
Advances in Intelligent Systems Research
Publication Date
November 2012
ISBN
978-94-91216-39-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/citcs.2012.181How 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  - Fukang Yin
AU  - Junqiang Song
PY  - 2012/11
DA  - 2012/11
TI  - Solving linear PDEs with the aid of two-dimensional Legendre wavelets
BT  - 2012 National Conference on Information Technology and Computer Science
PB  - Atlantis Press
SP  - 711
EP  - 716
SN  - 1951-6851
UR  - https://doi.org/10.2991/citcs.2012.181
DO  - https://doi.org/10.2991/citcs.2012.181
ID  - Yin2012/11
ER  -