Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5956
Title: Finite difference approximations of multidimensional unsteady convection-diffusion-reaction equations
Authors: Kaya, Adem
Keywords: Finite difference method
Finite element method
Unsteady convection
Unsteady diffusion
Unsteady reaction
Issue Date: 5-Mar-2015
Publisher: Elsevier Ltd.
Source: Kaya, A. (2015). Finite difference approximations of multidimensional unsteady convection-diffusion-reaction equations. Journal of Computational Physics, 285, 331-349. doi:10.1016/j.jcp.2015.01.024
Abstract: In this paper, the numerical approximation of unsteady convection-diffusion-reaction equations with finite difference method on a special grid is studied in the convection or reaction-dominated regime. We extend the method [19] which was designed for multidimensional steady convection-diffusion-reaction equations to unsteady problems. We investigate two possible different ways of combining the discretization in time and in space (where the sequence of the discretizations is interchanged). Discretization in time is performed by using Crank-Nicolson and Backward-Euler finite difference schemes, while for the space discretization we consider the method [19]. Numerical tests are presented to show good performance of the method.
URI: https://doi.org/10.1016/j.jcp.2015.01.024
http://hdl.handle.net/11147/5956
ISSN: 0021-9991
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
5956.pdfMakale8.08 MBAdobe PDFThumbnail
View/Open
Show full item record

CORE Recommender

SCOPUSTM   
Citations

21
checked on Dec 11, 2021

WEB OF SCIENCETM
Citations

20
checked on Jan 22, 2022

Page view(s)

42
checked on Jan 24, 2022

Download(s)

40
checked on Jan 24, 2022

Google ScholarTM

Check

Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.