On an iterational method for the approximate solution of an initial- and boundary-value problem for the heat-convection equations
type: Item
instance of: scholarly article
title: On an iterational method for the approximate solution of an initial- and boundary-value problem for the heat-convection equations
zbMATH Open document ID: 0798.76087
author: A. G. Zarubin
published in: Computational Mathematics and Mathematical Physics
publication date: 1994-07-24T00:00:00Z
review text: An iterational method is proposed for finding the approximate solution of an initial- and boundary-value problem for a non-stationary quasilinear system governing the motion of a non-uniform heated viscous incompressible liquid. It is proved that the approximate solutions converge in the norm of the space \([W_ 2^{2,1}(Q)]^ n\times W_ 2^{2,1}(Q)\), and convergence-rate bounds are obtained. In the case of two space variables, the results are globally, and in the case of three, locally applicable.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 584220
zbMATH Keywords: quasilinear system
zbMATH Keywords: non-uniform heated viscous incompressible liquid
zbMATH Keywords: convergence-rate bounds
MaRDI profile type: Publication
Recommended article: Iterative methods of solution of difference schemes for the heat- conduction equation with nonlinear boundary conditions
Recommended article: Q3377259
Recommended article: An iterative method for a Cauchy problem for the heat equation
Recommended article: Q4516196
Recommended article: Q3759869
Recommended article: Q3736853
Recommended article: An approximate solution of initial-boundary value problem of heat conduction
Recommended article: Iterative-Collocation Method for Integral Equations of Heat Conduction Problems
Recommended article: Q3056691
Recommended article: Q4485892
description: scientific article; zbMATH DE number 584220