Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions
type: Item
instance of: scholarly article
title: Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions
zbMATH Open document ID: 1486.65113
author: Yanyan Li
published in: Applied Numerical Mathematics
publication date: 2022-02-03T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7468876
zbMATH Keywords: reaction-diffusion-advection equation
zbMATH Keywords: artificial boundary conditions
zbMATH Keywords: tempered fractional derivative
zbMATH Keywords: fast algorithm
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.12.013
OpenAlex ID: W4206399073
cites work: Q5268541
cites work: Large-Scale Scientific Computing
cites work: Finite difference/finite element method for tempered time fractional advection-dispersion equation with fast evaluation of Caputo derivative
cites work: Absorbing boundary conditions for numerical simulation of waves
cites work: Q4399897
cites work: Q3919031
cites work: High-order local non-reflecting boundary conditions: a review
cites work: Q4938225
cites work: Artificial Boundary Conditions for the Linear Advection Diffusion Equation
cites work: Exact and approximating boundary conditions for the parabolic problems on unbounded domains
cites work: Artificial Boundary Method
cites work: Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension
cites work: Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
cites work: Q5654972
cites work: Transparent boundary conditions and numerical computation for singularly perturbed telegraph equation on unbounded domain
cites work: Q4692703
cites work: Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions
cites work: Well-posedness and numerical algorithm for the tempered fractional differential equations
cites work: Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain
cites work: Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations
cites work: An artificial boundary condition for an advection-diffusion equation
cites work: Fast Convolution for Nonreflecting Boundary Conditions
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Q4935978
cites work: Spectral Methods
cites work: A local collocation method to construct Dirichlet-type absorbing boundary conditions for transient scalar wave propagation problems
cites work: Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models
cites work: Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
cites work: Fast Evaluation of Artificial Boundary Conditions for Advection Diffusion Equations
cites work: A fully discrete difference scheme for a diffusion-wave system
cites work: Numerical solution of problems on unbounded domains. A review
cites work: Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions
cites work: High-order local absorbing boundary conditions for heat equation in unbounded domains
cites work: Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
cites work: Efficient difference schemes for the Caputo-tempered fractional diffusion equations based on polynomial interpolation
cites work: A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions
cites work: A Fast High Order Method for the Time-Fractional Diffusion Equation
DOI: 10.1016/J.APNUM.2021.12.013
description: scientific article; zbMATH DE number 7468876