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• W2013129097 abstract "We firstly develop the high-order numerical algorithms for the left and right Riemann-Liouville derivatives. Using these derived schemes, we can get high-order algorithms for the Riesz fractional derivative. Based on the approximate algorithm, we construct the numerical scheme for the space Riesz fractional diffusion equation, where a fourth-order scheme is proposed for the spacial Riesz derivative, and where a compact difference scheme is applied to approximating the first-order time derivative. It is shown that the difference scheme is unconditionally stable and convergent. Finally, numerical examples are provided which are in line with the theoretical analysis." @default.
• W2013129097 created "2016-06-24" @default.
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• W2013129097 date "2014-01-01" @default.
• W2013129097 modified "2023-10-13" @default.
• W2013129097 title "High-Order Algorithms for Riesz Derivative and Their Applications<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mo stretchy=false>(</mml:mo><mml:mi>I</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>" @default.
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• W2013129097 doi "https://doi.org/10.1155/2014/653797" @default.
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