A method for numerical solution of a multidimensional convection-diffusion problem
type: Item
instance of: scholarly article
title: A method for numerical solution of a multidimensional convection-diffusion problem
zbMATH Open document ID: 1196.65144
author: V. A. Prusov
author: A. E. Doroshenko
author: R. I. Chernysh
published in: Cybernetics and Systems Analysis
publication date: 2009-11-24T00:00:00Z
review text: Proposed paper presents numerical method for solving multidimensional convection-diffusion problems. Such type of problems arising for example from models of environmental processes in the Earth atmosphere, where to obtain significant results is often a difficult task. Presented method is based on the additive splitting algorithm using an efficient finite difference scheme and is a modification of the additive-averaged component wise splitting algorithm of \textit{D. G. Gordeziani} and \textit{G. V. Meladze} [Zh. Vychisl. Mat. Mat. Fiz. 14, 246--250 (1974; Zbl 0278.35049)]. The method allows parallel computations and presented modification reduces the number of data exchanges and their amount during the solution, which is the main improvement of presented method. Approximation, stability and conditional convergence of the type \(\tau=O(h^{1+s}), \;s \in (0,1) \) is investigated.
reviewed by: Angela Handlovičová
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M22
zbMATH DE Number: 5637591
zbMATH Keywords: convection-diffusion problem
zbMATH Keywords: additive splitting algorithm
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s10559-009-9074-8
OpenAlex ID: W1985679295
cites work: Q4745504
cites work: Q4040557
cites work: Q5472843
cites work: Q4764979
cites work: Efficient difference scheme for numerical solution of a convective diffusion problem
cites work: Theoretical study of a numerical method to solve a diffusion-convection problem
DOI: 10.1007/S10559-009-9074-8
description: scientific article; zbMATH DE number 5637591