Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval
نویسندگان
چکیده
منابع مشابه
Chebyshev Rational Spectral and Pseudospectral Methods on a Semi-Infinite Interval†
A weighted orthogonal system on the half line based on the Chebyshev rational functions is introduced. Basic results on Chebyshev rational approximations of several orthogonal projections and interpolations are established. To illustrate the potential of the Chebyshev rational spectral method, a model problem is considered both theoretically and numerically: error estimates for the Chebyshev ra...
متن کاملChebyshev rational spectral and pseudospectral methods on a semi-in5nite interval
A weighted orthogonal system on the half-line based on the Chebyshev rational functions is introduced. Basic results on Chebyshev rational approximations of several orthogonal projections and interpolations are established. To illustrate the potential of the Chebyshev rational spectral method, a model problem is considered both theoretically and numerically: error estimates for the Chebyshev ra...
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The stability of pseudospectral-Chebyshev methods is demonstrated for parabolic and hyperbolic problems with variable coefficients. The choice of collocation points is discussed. Numerical examples are given for the case of variable coefficient hyperbolic equations.
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1 Department of Mathematics, Islamic Azad University, Khorasgan Branch, 81515-158 Isfahan, Iran 2 Department of Mathematics, Khansar Faculty of Computer and Mathematics, University of Isfahan, Isfahan 81746-73441, Iran 3 Department of Physics, Faculty of Science, University PutraMalaysia, 43400 Serdang, Selangor, Malaysia 4 Department of Mathematics, Islamic Azad University, Mobarakeh Branch, 8...
متن کاملOn a Modiied Chebyshev Pseudospectral Method
presents a modiied Chebyshev pseudospec-tral method, involving mapping of the Chebyshev points, for solving rst-order hyperbolic initial boundary value problems. It is conjectured that the time step restriction for the modiied method is O(N ?1) compared to O(N ?2) for the standard Chebyshev pseudospectral method, where N is the number of discretization points in space. In the present paper we s...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2001
ISSN: 0029-5981,1097-0207
DOI: 10.1002/nme.392