Computational algorithms for computing the fractional derivatives of functions

被引：57

作者：

Odibat, Zaid M. ^{[1
]}

机构：

[1] Al Balqa Appl Univ, Prince Abdullah Bin Ghazi Fac Sci & IT, Salt 19117, Jordan

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2009年 / 79卷 / 07期

关键词：

Modified trapezoidal rule; Caputo fractional derivative rule; Caputo fractional derivative; PARTIAL-DIFFERENTIAL-EQUATIONS; CALCULUS;

D O I：

10.1016/j.matcom.2008.08.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we propose algorithms to compute the fractional derivatives of a function by a weighted sum of function values at specified points. The fractional derivatives are considered in the Caputo sense. The error analysis of the algorithms and some illustrative examples are presented. The numerical results confirm that the new algorithms are accurate, efficient and readily implemented. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：2013 / 2020

页数：8

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