A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction
type: Item
instance of: scholarly article
title: A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction
zbMATH Open document ID: 1351.80001
author: Guofei Pang
author: Wen Chen
published in: Journal of Computational Physics
publication date: 2016-12-20T00:00:00Z
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6666839
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Riesz potential
zbMATH Keywords: power law
zbMATH Keywords: nonlocal heat conduction
zbMATH Keywords: singular boundary method
zbMATH Keywords: boundary-only discretization
MaRDI profile type: Publication
full work available at URL: j.jcp.2016.01.003
OpenAlex ID: W2267484819
cites work: A speculative study of 2∕3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures
cites work: Space-fractional advection-dispersion equations by the Kansa method
cites work: The peridynamic formulation for transient heat conduction
cites work: The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
cites work: ELECTROMAGNETIC FIELDS ON FRACTALS
cites work: Q3141895
cites work: Q3421758
cites work: Q5440446
cites work: Finite difference methods for two-dimensional fractional dispersion equation
cites work: A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation
cites work: Gauss-Jacobi-type quadrature rules for fractional directional integrals
cites work: Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
cites work: Infinite domain potential problems by a new formulation of singular boundary method
cites work: Recent advances on radial basis function collocation methods
cites work: Differential Quadrature and Cubature Methods forSteady-State Space-Fractional Advection-DiffusionEquations
cites work: Fractional Spectral Collocation Method
cites work: Fractional vector calculus and fractional Maxwell's equations
cites work: Q5699297
cites work: Q5691799
cites work: The method of fundamental solutions for elliptic boundary value problems
cites work: Q5666837
cites work: BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS
cites work: Q4919313
cites work: A meshless, integration-free, and boundary-only RBF technique
cites work: Boundary particle method for Laplace transformed time fractional diffusion equations
DOI: 10.1016/J.JCP.2016.01.003
Recommended article: A novel method for solution of fractional order two-dimensional nonlocal heat conduction phenomena
Recommended article: Q2975097
Recommended article: A non-local coupling model involving three fractional Laplacians
Recommended article: Q4595550
Recommended article: Solution of a three-dimensional boundary-value problem for a fractional differential heat conduction equation
Recommended article: An efficient computational technique for local fractional heat conduction equations in fractal media
Recommended article: Local fractional Laplace variational iteration method for nonhomogeneous heat equations arising in fractal heat flow
Recommended article: A new numerical technique for local fractional diffusion equation in fractal heat transfer
Recommended article: The finite element method for fractional non-local thermal energy transfer in non-homogeneous rigid conductors
Recommended article: On fractional heat equations with non-local initial conditions
description: scientific article; zbMATH DE number 6666839