The high-order multistep ADI solver for two-dimensional nonlinear delayed reaction-diffusion equations with variable coefficients
type: Item
instance of: scholarly article
title: The high-order multistep ADI solver for two-dimensional nonlinear delayed reaction-diffusion equations with variable coefficients
zbMATH Open document ID: 1419.65036
author: Jianqiang Xie
author: Zhiyue Zhang
publication date: 2019-07-03T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M22
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7075811
zbMATH Keywords: delayed reaction-diffusion equations
zbMATH Keywords: compact multistep ADI scheme
zbMATH Keywords: convergence
zbMATH Keywords: solvability
MaRDI profile type: Publication
full work available at URL: j.camwa.2018.02.017
OpenAlex ID: W2793925886
cites work: Theory and applications of partial functional differential equations
cites work: Strong contractivity properties of numerical methods for ordinary and delay differential equations
cites work: Traveling wavefront in a hematopoiesis model with time delay
cites work: Dynamics for a type of general reaction-diffusion model
cites work: Oscillations and global attractivity in models of hematopoiesis
cites work: The study of a fourth-order multistep ADI method applied to nonlinear delay reaction-diffusion equations
cites work: A linearized compact difference scheme for a class of nonlinear delay partial differential equations
cites work: A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay parabolic differential equations
cites work: Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument
cites work: LDG method for reaction-diffusion dynamical systems with time delay
cites work: A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations
cites work: The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations
cites work: A local meshless method based on the finite collocation and local integral equations method for delay PDEs
cites work: Compact ADI method for solving parabolic differential equations
cites work: The multistep finite difference fractional steps method for a class of viscous wave equations
cites work: High-order compact ADI methods for parabolic equations
cites work: Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
cites work: An economical difference scheme for heat transport equation at the microscale
cites work: A new fourth-order numerical algorithm for a class of nonlinear wave equations
cites work: A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film
cites work: High-order finite difference methods for a second order dual-phase-lagging models of microscale heat transfer
cites work: Q6162342
cites work: Q5549989
cites work: Partial differential equations. III: Nonlinear equations.
cites work: Q4354424
cites work: Some properties of solutions for semilinear heat equations with timelag
cites work: Exponential stability of abstract evolution equations with time delay
cites work: Semigroups of linear operators and applications to partial differential equations
Wikidata QID: Q130181498
DOI: 10.1016/J.CAMWA.2018.02.017
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7075811