An efficient conservative splitting characteristic difference method for solving 2-d space-fractional advection–diffusion equations

An efficient conservative splitting characteristic difference method for solving 2-d space-fractional advection–diffusion equations

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Bibliographic Details
Published in:Computational and applied mathematics. - Springer International Publishing, 2003. - 42(2023), 1 vom: 27. Jan.
Main Author: Wang, Ning (Author)
Other Authors: Zhang, Xinxia (Author) Zhou, Zhongguo (Author) Pan, Hao (Author) Wang, Yan (Author)
Format: electronic Article
Language:English
Published: 2023
ISSN:1807-0302
External Sources:lizenzpflichtig
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245 1 0 |a An efficient conservative splitting characteristic difference method for solving 2-d space-fractional advection–diffusion equations 
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520 |a Abstract In this paper, we develop an efficient splitting characteristic difference method for solving 2-dimensional two-sided space-fractional advection–diffusion equation. The intermediate numerical solutions are first computed by the piecewise parabolic method (PPM) where $$\bar{x}_i$$ is solved by the explicit second-order Runge–Kutta scheme. Then, the interior solutions are computed by the splitting $$\sigma $$-implicit characteristic difference method. By some auxiliary lemmas, our scheme is proved stable in $$L^2$$-norm. The error estimate is given and we prove our schemes are of second-order convergence in space. Numerical experiments are used to verify our theoretical analysis. 
650 4 |a Spatial-fractional 
650 4 |a PPM 
650 4 |a Characteristic difference method 
650 4 |a Stability 
650 4 |a Error estimate 
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700 1 |a Pan, Hao  |4 aut 
700 1 |a Wang, Yan  |4 aut 
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