dc.contributor.author |
Appadu, A. Rao
|
|
dc.contributor.author |
Lubuma, Jean M.-S.
|
|
dc.contributor.author |
Mphephu, N.
|
|
dc.date.accessioned |
2017-04-20T14:32:37Z |
|
dc.date.issued |
2017-02 |
|
dc.description.abstract |
In this paper, we use three existing schemes namely, Upwind Forward Euler, Non-Standard Finite Difference
(NSFD) and Unconditionally Positive Finite Difference (UPFD) schemes to solve two numerical
experiments described by a linear and a non-linear advection-diffusion-reaction equation with constant
coefficients. These equations model exponential travelling waves and biofilm growth on a medical implant
respectively. We study the exact and numerical dissipative and dispersive properties of the three
schemes for both problems. Moreover, L1 error, dispersion and dissipation errors, at some values of
temporal and spatial step sizes have been computed for the three schemes for both problems. |
en_ZA |
dc.description.department |
Mathematics and Applied Mathematics |
en_ZA |
dc.description.embargo |
2017-08-31 |
|
dc.description.librarian |
hb2017 |
en_ZA |
dc.description.sponsorship |
DST/NRF SARChI chair in Mathematical Models and Methods in Bioengineering and BioSciences of the University of Pretoria. |
en_ZA |
dc.description.uri |
http://www.inderscience.com/jhome.php?jcode=PCFD |
en_ZA |
dc.identifier.citation |
Appadu, AR, Lubuma, J.M-S & Mphephu, N 2017, 'Computational study of three numerical methods for some linear and nonlinear advection-diffusion-reaction problems', Progress in Computational Fluid Dynamics, vol. 17. no. 2, pp. 114-129. |
en_ZA |
dc.identifier.issn |
1468-4349 (print) |
|
dc.identifier.issn |
1741-5233 (online) |
|
dc.identifier.other |
10.1504/PCFD.2017.082520 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/59995 |
|
dc.language.iso |
en |
en_ZA |
dc.publisher |
Inderscience |
en_ZA |
dc.rights |
© 2015 Inderscience Enterprises Ltd. |
en_ZA |
dc.subject |
Advection-diffusion-reaction |
en_ZA |
dc.subject |
Stability |
en_ZA |
dc.subject |
Dispersion |
en_ZA |
dc.subject |
Dissipation |
en_ZA |
dc.subject |
Finite difference |
en_ZA |
dc.subject |
Upwind forward Euler scheme |
en_ZA |
dc.subject |
Non-standard finite difference (NSFD) scheme |
en_ZA |
dc.subject |
Unconditionally positive finite difference (UPFD) scheme |
en_ZA |
dc.title |
Computational study of three numerical methods for some linear and nonlinear advection-diffusion-reaction problems |
en_ZA |
dc.type |
Postprint Article |
en_ZA |