Computations of Fractional Differentiation by Lagrange Interpolation Polynomial and Chebyshev Polynomial


	Information Technology Journal
	Year: 2012 \| Volume: 11 \| Issue: 4 \| Page No.: 557-559 DOI: 10.3923/itj.2012.557.559

Computations of Fractional Differentiation by Lagrange Interpolation Polynomial and Chebyshev Polynomial

Xiangmei Zhang, Xianzhou Guo and Anping Xu

Abstract: With the high speed development of computer science and the increasing ability of calculation, the Fractional Calculus (FC) and Fractional Differential Equations (FDEs) appear more and more frequently in research areas and engineering applications. An easy-to-use and effective method for solving such equations is needed. Though some analytic solutions of FDEs can be resolved, most FDEs do not have exact analytic solutions. So approximation and numerical techniques must be used. In the study, given a set of grid points {x_i}, i = 1, 2, …, n and corresponding function values, {f (x_i)}, i = 1, 2, …, n, we use two methods to computer the fractional differentiation of function f (x)-Lagrange interpolation polynomial method and Chebyshev polynomial method.

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How to cite this article:

Xiangmei Zhang, Xianzhou Guo and Anping Xu, 2012. Computations of Fractional Differentiation by Lagrange Interpolation Polynomial and Chebyshev Polynomial. Information Technology Journal, 11: 557-559.

DOI: 10.3923/itj.2012.557.559

URL: https://scialert.net/abstract/?doi=itj.2012.557.559

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