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math.NA2017★ 58 cited
A comparative study on nonlocal diffusion operators related to the fractional Laplacian
Siwei Duo, Hong Wang, Yanzhi Zhang
In this paper, we study four nonlocal diffusion operators, including the fractional Laplacian, spectral fractional Laplacian, regional fractional Laplacian, and peridynamic operato…
math.AP2017
Fast procedures for Caputo fractional derivative and its applications to ordinary and partial differential equations
Zhengguang Liu, Aijie Cheng, Xiaoli Li +1
In this paper, we develop fast procedures for solving linear systems arising from discretization of ordinary and partial differential equations with Caputo fractional derivative w.…