Two-dimensional Legendre wavelets and operational matrices of integration.
H. Parsian · 2005
The one dimension Legendre wavelets is a numerical method for solving one dimension variational problems and integral equations. In this paper we introduce two dimensions Legendre wavelets. These wavelets are defined over the interval (0,1) ◊ (0,1) and an orthonormal set over this inter- val. The integration of the product of two dimensions Legendre wavelets over (0,1) ◊ (0,1) is equal one. In the paper section we compute operational ma- trices of integration for two dimensions Legendre wavelets. These operational matrices are suitable tools for two dimensions problems. Two dimensions Le- gendre wavelets are a numerical method for solving two dimensions variational problems.