The finite difference method for Caputo-type parabolic equation with fractional Laplacian: one-dimension case
type: Item
instance of: scholarly article
title: The finite difference method for Caputo-type parabolic equation with fractional Laplacian: one-dimension case
zbMATH Open document ID: 1422.65157
author: Ye Hu
author: Changpin Li
author: Hefeng Li
published in: Chaos, Solitons and Fractals
publication date: 2017-11-13T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6806342
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Caputo derivative
zbMATH Keywords: Caffarelli-Silvestre extension
zbMATH Keywords: finite difference method
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: j.chaos.2017.03.038
OpenAlex ID: W2605247189
cites work: Q4888858
cites work: A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
cites work: Numerical approximation of fractional powers of elliptic operators
cites work: A concave-convex elliptic problem involving the fractional Laplacian
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Positive solutions of nonlinear problems involving the square root of the Laplacian
cites work: Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
cites work: Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
cites work: Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
cites work: Algorithms for the fractional calculus: a selection of numerical methods
cites work: High-order algorithms for Riesz derivative and their applications. II
cites work: High-order algorithms for Riesz derivative and their applications. III
cites work: High-order numerical algorithms for Riesz derivatives via constructing new generating functions
cites work: Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
cites work: Numerical approaches to fractional calculus and fractional ordinary differential equation
cites work: The Finite Difference Methods for Fractional Ordinary Differential Equations
cites work: A PDE approach to space-time fractional parabolic problems
cites work: A PDE approach to fractional diffusion in general domains: a priori error analysis
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Q3864730
cites work: Q4233638
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: On the differentiability of the solution to an equation with drift and fractional diffusion
cites work: Q3141895
cites work: Finite difference method for a fractional porous medium equation
DOI: 10.1016/J.CHAOS.2017.03.038
description: scientific article; zbMATH DE number 6806342