Zhongqing Wang
Abstract
A new orthogonal system of generalized Legendre rational functions is introduced. A generalized Legendre rational pesudospectral scheme is constructed for a model problem on the half line. Numerical results demonstrate the effectiveness of this approach.
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A new orthogonal system of generalized Legendre rational functions is introduced. A generalized Legendre rational pesudospectral scheme is constructed for a model problem on the half line. Numerical results demonstrate the effectiveness of this approach.
Key concepts: Legendre polynomials, Legendre function, Legendre wavelet, Legendre's equation, Associated Legendre polynomials, Scheme (mathematics), Mathematics, Legendre transformation