Algorithms for the fractional calculus: A selection of numerical methods
Algorithms for the fractional calculus: A selection of numerical methods
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DOI：
10.1016/j.cma.2004.06.006
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发表时间：
2005-01-01
影响因子：
7.2
通讯作者：
Luchko, Y
中科院分区：
文献类型：
--
作者：
Diethelm, K;Ford, NJ;Luchko, Y
最近在粘弹性、电化学、扩散过程等领域开发的许多模型都是用分数（非整数）阶导数（和积分）来表示的。在本文中，我们介绍了一系列数值算法，用于解决在此背景下出现的各种问题。我们相信，这将为工程师提供高效处理分数模型所需的必要工具。出版商：Elsevier B.V.
Many recently developed models in areas like viscoelasticity. electrochemistry. diffusion processes. etc are formulated in terms of derivatives (and integrals) of fractional (non-integer) order. In this paper we present a collection of numerical algorithms for the solution of the various problems arising in this context. We believe that this will give the engineer the necessary tools required to work with fractional models in an efficient way. Published by Elsevier B.V.