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

A. R. Appadu, J. K. Djoko, H. H. Gidey

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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, L 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.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
EditorsTheodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415386
DOIs
Publication statusPublished - Jul 21 2017
EventInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece
Duration: Sep 19 2016Sep 25 2016

Publication series

NameAIP Conference Proceedings
Volume1863
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
Country/TerritoryGreece
CityRhodes
Period9/19/169/25/16

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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