Numerical Algorithm for Fractional Calculus Based on Chebyshev Polynomial Approximation

Numerical Algorithm for Fractional Calculus Based on Chebyshev Polynomial Approximation
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DOI:
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发表时间:
2012
期刊:
Journal of Shanghai University
影响因子:
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通讯作者:
Lin Chang-pin
Lin Chang-pin
中科院分区:
其他
文献类型:
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作者:
Lin Chang-pin

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提出了基于Chebyshev多项式逼近的数值算法,包括分数阶积分的数值算法和分数阶导数的广义数值算法,并给出了误差估计,数值算例表明了方法的有效性.
Numerical algorithms based on Chebyshev polynomial approximation are proposed,including a numerical algorithm for fractional integral and a generalized numerical algorithm for fractional derivative.Error estimates are given.Numerical examples show effectiveness of the methods.