dc.contributor.author |
Chapwanya, Michael
|
|
dc.contributor.author |
Lubuma, Jean M.-S.
|
|
dc.contributor.author |
Mickens, Ronald E.
|
|
dc.date.accessioned |
2013-05-22T07:29:52Z |
|
dc.date.available |
2013-05-22T07:29:52Z |
|
dc.date.issued |
2013-01 |
|
dc.description.abstract |
We compare and investigate the performance of the exact scheme of the Michaelis-Menten
(M-M) ordinary differential equation with several new non-standard finite difference (NSFD)
schemes that we construct by using Mickens’ rules. Furthermore, the exact scheme of the M-M
equation is used to design several dynamically consistent NSFD schemes for related reactiondiffusion
equations, advection-reaction equations and advection-reaction-diffusion equations.
Numerical simulations that support the theory and demonstrate computationally the power
of NSFD schemes are presented. |
en_US |
dc.description.librarian |
hb2013 |
en_US |
dc.description.sponsorship |
South African National Research Foundation |
en_US |
dc.description.uri |
http://www3.interscience.wiley.com/journal/35979/home |
en_US |
dc.identifier.citation |
Chapwanya, M , Lubuma, JM-S & Mickens, RE 2013, 'Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations', Numerical Methods for Partial Differential Equations, vol. 29, no. 1, pp. 337-360. |
en_US |
dc.identifier.issn |
0749-159X (print) |
|
dc.identifier.issn |
1098-2426 (online) |
|
dc.identifier.other |
10.1002/num.21733 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/21533 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
Wiley |
en_US |
dc.rights |
Wiley. This is the pre-peer reviewed version of the following article: Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations, Numerical Methods for Partial Differential Equations , vol. 29, no. 1, pp. 337 - 360. 2013, which has been published in final form at www.interscience.wiley.com. |
en_US |
dc.subject |
Nonstandard finite difference method |
en_US |
dc.subject |
Exact scheme |
en_US |
dc.subject |
Michaelis-Menten equation |
en_US |
dc.subject |
Advection-reaction-diffusion equations |
en_US |
dc.subject |
Lambert W function |
en_US |
dc.title |
Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations |
en_US |
dc.type |
Postprint Article |
en_US |