Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations
| dc.contributor.author | Chapwanya, Michael | |
| dc.contributor.author | Lubuma, Jean M.-S. | |
| dc.contributor.author | Mickens, Ronald E. | |
| dc.contributor.email | jean.lubuma@up.ac.za | en_US |
| 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 |