Fractional centered difference scheme for high-dimensional integral fractional Laplacian

From MaRDI portal
Publication:2123905

DOI10.1016/j.jcp.2020.109851OpenAlexW3087541197MaRDI QIDQ2123905

Zhongqiang Zhang, Rui Du, Zhao-peng Hao

Publication date: 14 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109851



Related Items

A Tikhonov regularization method for solving a backward time-space fractional diffusion problem, Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping, Finite element discretizations for variable-order fractional diffusion problems, Preconditioning technique based on sine transformation for nonlocal Helmholtz equations with fractional Laplacian, Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions, Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation, Finite difference schemes for time-space fractional diffusion equations in one- and two-dimensions, A finite difference scheme for the two-dimensional Gray-Scott equation with fractional Laplacian, Analysis of a sinc-Galerkin Method for the Fractional Laplacian, An efficient fourth-order accurate conservative scheme for Riesz space fractional Schrödinger equation with wave operator, Error Estimates of Finite Difference Methods for the Fractional Poisson Equation with Extended Nonhomogeneous Boundary Conditions, Numerical methods for the forward and backward problems of a time-space fractional diffusion equation, A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains, Neural Network Method for Integral Fractional Laplace Equations, Structure-preserving scheme for one dimension and two dimension fractional KGS equations, Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods, L1/LDG algorithm for time‐Caputo space‐Riesz fractional convection equation in two dimensions, Fast \(Q1\) finite element for two-dimensional integral fractional Laplacian, High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: discretization and simulations, On convergence of a structure preserving difference scheme for two-dimensional space-fractional nonlinear Schrödinger equation and its fast implementation, A linear finite difference scheme for the two-dimensional nonlinear Schrödinger equation with fractional Laplacian, Monte Carlo fPINNs: deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations, Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk, A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations, High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows



Cites Work