Exponential finite-difference schemes with double integral transformation for the solution of diffusion-convection equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1313.76104
author: S. V. Polyakov
publication date: 2014-10-20T00:00:00Z
full work available at URL: mm3218
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 76R10
zbMATH DE Number: 6359075
zbMATH Keywords: diffusion
zbMATH Keywords: convection
zbMATH Keywords: finite difference methods
zbMATH Keywords: integral transforms
zbMATH Keywords: operational calculus
MaRDI profile type: Publication
title: Exponential finite-difference schemes with double integral transformation for the solution of diffusion-convection equations
published in: Matematicheskoe Modelirovanie
review text: The application of diffusion-convection equations for the analytical and numerical investigation of many nonlinear processes in rigid bodies, liquids and gases mets some difficulties. Here, the net approach on the base of the finite difference method is used for the solutions of the above mentioned types of equations. To simplify the analysis, a spatial one-dimensional variant of the equation was chosen but the base singularities of the equations, i.e., non-monotonicity and non-linearity were kept. A special variant of the non-monotonous sweep method is suggested for the solution of boundary problems of the discussed equations.
reviewed by: Sergei Georgievich Zhuravlev
description: scientific article; zbMATH DE number 6359075