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ABSTRACT
In this paper, the high-dimensional Caputo-type parabolic equation with fractional Laplacian is studied by using the finite difference method. The convergence and error estimate of the established finite difference scheme are shown. And the illustrative examples are also displayed which support the theoretical analysis.
Acknowledgements
The authors wish to thank Chuntao Yin for improving the resolution of figures.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
The work was partially supported by the National Natural Science Foundation of China [grant no. 11671251].