Numerical Approximations for the Tempered Fractional Laplacian: Error Analysis and Applications
In this paper, we propose an accurate finite difference method to discretize the d-dimensional (for d ≥ 1) tempered integral fractional Laplacian and apply it to study the tempered effects on the solution of problems arising in various applications. Compared to other existing methods, our method has higher accuracy and simpler implementation....
S. Duo and Y. Zhang, "Numerical Approximations for the Tempered Fractional Laplacian: Error Analysis and Applications," Journal of Scientific Computing, vol. 81, no. 1, pp. 569 - 593, Springer New York LLC, Oct 2019.
The definitive version is available at https://doi.org/10.1007/s10915-019-01029-7
Mathematics and Statistics
Center for High Performance Computing Research
Keywords and Phrases
Error Estimates; Finite Difference Methods; Fractional Allen-Cahn Equation; Fractional Gray-Scott Equations; Tempered Integral Fractional Laplacian
International Standard Serial Number (ISSN)
Article - Journal
© 2019 Springer New York LLC, All rights reserved.
01 Oct 2019
This work was supported by the US National Science Foundation under Grant No. DMS-1620465.