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