An efficient high-order algorithm for solving systems of reaction-diffusion equations
type: Item
instance of: scholarly article
title: An efficient high-order algorithm for solving systems of reaction-diffusion equations
zbMATH Open document ID: 0997.65105
author: Wenyuan Liao
author: Jian-Ping Zhu
author: A. Q. M. Khaliq
published in: Numerical Methods for Partial Differential Equations
publication date: 2002-07-23T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 1760729
zbMATH Keywords: error bounds
zbMATH Keywords: numerical examples
zbMATH Keywords: finite difference algorithm
zbMATH Keywords: reaction-diffusion equations
zbMATH Keywords: Crank-Nicolson algorithm
zbMATH Keywords: Padé approximation
zbMATH Keywords: Richardson extrapolation
MaRDI profile type: Publication
full work available at URL: num.10012
OpenAlex ID: W2145092438
cites work: Highly accurate compact implicit methods and boundary conditions
cites work: Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
cites work: Compact finite difference schemes with spectral-like resolution
cites work: Implicit, compact, linearized \(\theta\)-methods with factorization for multidimensional reaction-diffusion equations
cites work: On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
cites work: The Numerical Solution of Parabolic and Elliptic Differential Equations
cites work: The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
cites work: Linearization methods for reaction-diffusion equations: 1-D problems
cites work: Linearization methods for reaction-diffusion equations: Multidimensional problems
cites work: Solving Ordinary Differential Equations II
cites work: Q4215094
DOI: 10.1002/NUM.10012
description: scientific article; zbMATH DE number 1760729