Fourth-Order Compact Difference Schemes for the Riemann-Liouville and Riesz Derivatives

Fourth-Order Compact Difference Schemes for the Riemann-Liouville and Riesz Derivatives

We propose two new compact difference schemes for numerical approximation of the Riemann-Liouville and Riesz derivatives, respectively. It is shown that these formulas have fourth-order convergence order by means of the Fourier transform method. Finally, some numerical examples are implemented to te...

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Bibliographic Details
Main Authors:	Yuxin Zhang, Hengfei Ding, Jincai Luo
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/540692

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