Monotone methods for higher-order partial difference equations
type: Item
instance of: scholarly article
title: Monotone methods for higher-order partial difference equations
zbMATH Open document ID: 0812.65130
DOI: 10.1016/0898-1221(94)00117-0
author: Qin Sheng
author: Ravi P. Agarwal
publication date: 1994-09-21T00:00:00Z
review text: Several comparison results for a nonlinear partial difference equation of the order \(n+m\) in two independent variables, \(\Delta^ n_ x \Delta^ m_ y u(x,y)= g(x,y,u)\), together with appropriate initial and periodic boundary conditions, are established. These results are then used to provide sufficient conditions for the convergence of monotone iterative methods.
reviewed by: Costică Moroşanu
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 641671
zbMATH Keywords: comparison results
zbMATH Keywords: nonlinear partial difference equation
zbMATH Keywords: convergence
zbMATH Keywords: monotone iterative methods
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)00117-0
OpenAlex ID: W2017168403
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 641671