https://orcid.org/0000-0001-8480-9269
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Abstract
In this paper, a second-order backward difference formula (abbr. BDF2) is used to approximate first-order time partial derivative, the Riesz fractional derivatives are approximated by fourth-order compact operators, a class of new alternating-direction implicit difference scheme (abbr. ADI) is constructed for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation. Stability and convergence of the numerical method are analysed. Numerical experiments demonstrate that the proposed method is effective.
Acknowledgments
The authors would like to express the thanks to the referees for their valuable comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work is supported by National Science Foundation of China [grant number 11671343], and Project of Scientific Research Fund of Hunan Provincial Science and Technology Department [grant number 2018WK4006].