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