A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction-Reference-Cited by-同舟云学术

A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction

Published:2016-03 Issue: Volume:309 Page:350-367
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Chen Wen,Pang Guofei

Funder

National Science Funds for Distinguished Young Scholars of China

National Science Funds of China

111 Project

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference34 articles.

1. Fractional Laplacian time–space models for linear and nonlinear lossy media exhibiting arbitrary frequency power-law dependency;Chen;J. Acoust. Soc. Am.,2004

2. A speculative study of 2/3-order fractional Laplacian modeling of turbulence: some thoughts and conjectures;Chen;Chaos,2006

3. Space-fractional advection–dispersion equations by the Kansa method;Pang;J. Comput. Phys.,2015

4. The peridynamic formulation for transient heat conduction;Bobaru;Int. J. Heat Mass Conduct.,2010

5. The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator;D'Elia;Comput. Math. Appl.,2013

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