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

DOI

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

Copyright

© 2012, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - Proceedings of the 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  - 10.2991/citcs.2012.181
ID  - Yin2012/11
ER  -