Title

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

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....

Department(s)

Mathematics and Statistics

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

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