Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 21, No. 1, pp. 101-106 (2005)

Two dimension Legendre wavelets and operational matrices of integration

H. Parsian

Bu-Ali Sina University

Abstract: 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]x[0,1] and an orthonormal set over this interval. The integration of the product of two dimensions Legendre wavelets over [0,1]x[0,1] is equal one. In the paper section we compute operational matrices of integration for two dimensions Legendre wavelets. These operational matrices are suitable tools for two dimensions problems. Two dimensions Legendre wavelets are a numerical method for solving two dimensions variational problems.

Keywords: Legendre wavelets, numerical integration, orthogonal set.

Classification (MSC2000): 65T60; 42C40

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