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An Explicit-Implicit Splitting Method for a Convection-Diffusion Problem

Journal article
Authors Vidar Thomée
A. S. V. Murthy
Published in Computational Methods in Applied Mathematics
Volume 19
Issue 2
Pages 283-293
ISSN 1609-4840
Publication year 2019
Published at Department of Mathematical Sciences
Pages 283-293
Language en
Links dx.doi.org/10.1515/cmam-2018-0018
Keywords Convection-Diffusion, Operator Splitting
Subject categories Computational Mathematics

Abstract

We analyze a second-order accurate finite difference method for a spatially periodic convection-diffusion problem. The method is a time stepping method based on the Strang splitting of the spatially semidiscrete solution, in which the diffusion part uses the Crank-Nicolson method and the convection part the explicit forward Euler approximation on a shorter time interval. When the diffusion coefficient is small, the forward Euler method may be used also for the diffusion term.

Page Manager: Webmaster|Last update: 9/11/2012
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