The Wavelet Collocation Method Based on Economic Class of Equations Shannon

DOI

10.2991/iiicec-15.2015.120How to use a DOI?

Keywords

2-D Shannon scale function. bivar tensor product. wavelet collocation method. The Economic Class of differential equations

Abstract

In view of the Economic Class of two-dimensional partial differential equation, a two dimensional scale function was chosen and was applied to the wavelet collocation method. Simultaneously, the two dimensional scaling basis function was proved satisfy the interpolate property. And according to two dimensional multi-resolution analysis theory, the approximate formulas of solutions for the Economic Class of the two dimensional differential equations were given. The two dimensional partial differential equations were separated by the wavelet collocation method and the system of ordinary differential equations was built. At last, the system of partial differential equations was solved. The result was better than the traditional Galerkin method and with higher precision.

Copyright

© 2015, 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  - Xiaohong Dong
PY  - 2015/03
DA  - 2015/03
TI  - The Wavelet Collocation Method Based on Economic Class of Equations Shannon
BT  - Proceedings of the 2015 International Industrial Informatics and Computer Engineering Conference
PB  - Atlantis Press
SP  - 526
EP  - 529
SN  - 2352-538X
UR  - https://doi.org/10.2991/iiicec-15.2015.120
DO  - 10.2991/iiicec-15.2015.120
ID  - Dong2015/03
ER  -