Numerical Approximations for the Tempered Fractional Laplacian: Error Analysis and Applications

Author

Siwei Duo
Yanzhi Zhang, Missouri University of Science and TechnologyFollow

Abstract

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....

Recommended Citation

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

Department(s)

Mathematics and Statistics

Research Center/Lab(s)

Center for High Performance Computing Research

Comments

This work was supported by the US National Science Foundation under Grant No. DMS-1620465.

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)

0885-7474; 1573-7691

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 Springer New York LLC, All rights reserved.

Publication Date

01 Oct 2019