Solving linear PDEs with the aid of two-dimensional Legendre wavelets
Fukang Yin, Junqiang Song
Available Online November 2012.
- https://doi.org/10.2991/citcs.2012.181How to use a DOI?
- two-dimensional, Legendre wavelets, operational matrix, integration, PDEs
- 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
- 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 -