An Explicit-Implicit Splitting Method for a Convection-Diffusion Problem
Journal article, 2019

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.

Operator Splitting

Convection-Diffusion

Author

Vidar Thomee

University of Gothenburg

Chalmers, Mathematical Sciences

A. S. Vasudeva Murthy

TIFR Ctr Applicable Math

Computational Methods in Applied Mathematics

1609-4840 (ISSN) 1609-9389 (eISSN)

Vol. 19 2 283-293

Subject Categories

Computational Mathematics

Probability Theory and Statistics

Mathematical Analysis

DOI

10.1515/cmam-2018-0018

More information

Latest update

6/7/2019 2