A comparative study on nonlocal diffusion operators related to the fractional Laplacian

DOI10.3934/dcdsb.2018110zbMath1404.45003arXiv1711.06916OpenAlexW2768690360MaRDI QIDQ1756986

Hong Wang, Yanzhi Zhang, Siwei Duo

Publication date: 28 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06916

zbMATH Keywords

fractional Poisson equationfractional Laplacianspectral fractional Laplacianperidynamic operatorregional fractional Laplacianextended homogeneous Dirichlet boundary condition

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Integral equations with kernels of Cauchy type (45E05)

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