TCHEBYCHEV MULTI-WAVELET BASIS FOR SOLVING BOUNDARY INTEGRAL EQUATION
Esmaeil Babolian, M.R. Fadaei Yami · 2009
In this paper, using orthogonality of Tchebychev polynomials, we present an orthonormal wavelet basis for L 2 [0,1]. We use this basis for solving Neumann problems with Galerkin method. The property of this basis is that a variety of integral operators is represented in this basis as sparse matrices, to high precision. Some examples are solved to illustrate the eciency and accuracy of this method.