Comparative study of some numerical methods to solve a 3D advection-diffusion equation

Appadu, A. Rao; Djoko, J.K. (Jules Kamdem); Gidey, H.H.

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dc.contributor.author	Appadu, A. Rao
dc.contributor.author	Djoko, J.K. (Jules Kamdem)
dc.contributor.author	Gidey, H.H.
dc.date.accessioned	2017-09-06T13:33:28Z
dc.date.available	2017-09-06T13:33:28Z
dc.date.issued	2017
dc.description.abstract	In this work, three finite difference methods have been used to solve a three dimensional advection-diffusion equation with given initial and boundary conditions. The three methods are fourth order finite difference method, Crank-Nicolson and Implicit Chapeau Function. We compare the performance of the methods by computing L2 error, L1 error and some performance indices such as mass distribution ratio (MDR), mass conservation ratio (MCR), total mass and R2 which is a measure of total variation in particle distribution.	en_ZA
dc.description.department	Mathematics and Applied Mathematics	en_ZA
dc.description.librarian	am2017	en_ZA
dc.description.sponsorship	Dr Appadu is grateful to the South African DST/NRF SARChI Chair on Mathematical Models and Methods in Bio- engineering and Biosciences of the University of Pretoria and to the National Research Foundation of South African Grant Number 95864. Prof. J.K. Djoko is funded through the incentive fund N00 401 Project 85796. Hagos is grateful to DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS) for the financial support for 2016.	en_ZA
dc.description.uri	http://scitation.aip.org/content/aip/proceeding/aipcp	en_ZA
dc.identifier.citation	Appadu, A.R., Djoko, J.K. & Gidey, H.H. 2017, 'Comparative study of some numerical methods to solve a 3D advection-diffusion equation', AIP Conference Proceedings, pp. 030009-1-030009-4.	en_ZA
dc.identifier.issn	0094-243X (print)
dc.identifier.issn	1551-7316 (online)
dc.identifier.other	10.1063/1.4992162
dc.identifier.uri	http://hdl.handle.net/2263/62194
dc.language.iso	en	en_ZA
dc.publisher	American Institute of Physics	en_ZA
dc.rights	© 2017 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License.	en_ZA
dc.subject	Three dimensional advection-diffusion equation	en_ZA
dc.subject	Finite difference methods	en_ZA
dc.title	Comparative study of some numerical methods to solve a 3D advection-diffusion equation	en_ZA
dc.type	Article	en_ZA