Efficient compact finite difference method for variable coefficient fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions in conservative form
type: Item
instance of: scholarly article
title: Efficient compact finite difference method for variable coefficient fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions in conservative form
zbMATH Open document ID: 1413.65329
author: Lei Ren
author: Lei Liu
published in: Computational and Applied Mathematics
publication date: 2019-01-29T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7007463
zbMATH Keywords: fractional sub-diffusion equation
zbMATH Keywords: variable coefficient
zbMATH Keywords: nonhomogeneous Neumann boundary conditions
zbMATH Keywords: energy analysis method
MaRDI profile type: Publication
full work available at URL: s40314-018-0690-7
OpenAlex ID: W2888942392
cites work: A new difference scheme for the time fractional diffusion equation
cites work: A compact fourth order scheme for the Helmholtz equation in polar coordinates
cites work: Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
cites work: Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations
cites work: Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence
cites work: A fast iterative solver for the variable coefficient diffusion equation on a disk
cites work: Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
cites work: High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.
cites work: Numerical methods and analysis for a class of fractional advection-dispersion models
cites work: Error analysis of a high order method for time-fractional diffusion equations
cites work: The method of difference potentials for the Helmholtz equation using compact high order schemes
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
cites work: An unconditionally stable and \(O(\tau^2+h^4)\) order \(L_\infty\) convergent difference scheme for linear parabolic equations with variable coefficients
cites work: A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions
cites work: High Order Difference Schemes for a Time Fractional Differential Equation with Neumann Boundary Conditions
cites work: A high‐order compact scheme for the nonlinear fractional <scp>K</scp>lein–<scp>G</scp>ordon equation
cites work: A high order compact finite difference scheme for time fractional Fokker-Planck equations
cites work: A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions
cites work: Efficient compact finite difference methods for a class of time-fractional convection–reaction–diffusion equations with variable coefficients
cites work: An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
cites work: A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives
cites work: Efficient numerical schemes for fractional sub-diffusion equation with the spatially variable coefficient
cites work: Analytical solution of a spatially variable coefficient advection-diffusion equation in up to three dimensions
DOI: 10.1007/S40314-018-0690-7
description: scientific article; zbMATH DE number 7007463