Abstract: A novel kind of perturbed Chebyshev-Pade approximation based on a perturbation parameter is derived.The merit of this kind of perturbed Chebyshev-Pade approximation is that by adjusting the perturbation parameter,a higher degree of approximation can be obtained.The method of calculating the perturbed Chebyshev-Pade approximation is proposed for not only the general situation but also some special cases,i.e.,an odd function and an even one.The novel approximation formulas for the derivatives of f(x)and the original functions are also discussed.By the time-complexity analysis,it is illustrated that compared with the traditional Chebyshev-Pade approximation,the novel approximation presented in this paper calls for less calculation with almost the same accuracy.Finally,some numerical examples are given to show the advantages of the novel approximation over the traditional method.
Publication Year: 2007
Publication Date: 2007-01-01
Language: en
Type: article
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