Space-Fractional Diffusion Equation with Variable Coefficients: Well-posedness and Fourier Pseudospectral Approximation-Reference-Cited by-同舟云学术

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Space-Fractional Diffusion Equation with Variable Coefficients: Well-posedness and Fourier Pseudospectral Approximation

Published:2021-03-06 Issue:1 Volume:87 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Li Xue-Yang,Xiao Ai-Guo^ORCID

Funder

National Natural Science Foundation of China

Scientific Research Foundation of Hunan Provincial Education Department

Hunan Provincial Science and Technology Department

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-021-01435-w.pdf

Reference31 articles.

1. Aceto, L., Novati, P.: Rational approximation to the fractional Laplacian operator in reaction-diffusion problems. SIAM J. Sci. Comput. 39(1), A214–A228 (2017)

2. Adams, R., Fournier, J.: Sobolev Spaces. Academic Press, Singapore (2009)

3. Alzahrani, S.S., Khaliq, A.Q.M.: High-order time stepping Fourier spectral method for multi-dimensional space-fractional reaction-diffusion equations. Comput. Math. Appl. 77, 615–630 (2019)

4. Benson, D.A., Schumer, R., Meerschaert, M.M., Wheatcraft, S.W.: Fractional dispersion, Lévy motion, and the MADE tracer tests. Transp. Porous Med. 42, 211–240 (2001)

5. Benson, D.A., Wheatcraft, S.W., Meerschaert, M.M.: Application of a fractional advection-dispersion equation. Water Resour. Res. 36, 1403–1412 (2000)

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