Chapwanya, MichaelLubuma, Jean M.-S.Mickens, Ronald E.2013-05-222013-05-222013-01Chapwanya, 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. 337-360.0749-159X (print)1098-2426 (online)10.1002/num.21733http://hdl.handle.net/2263/21533We 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.enWiley. 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.Nonstandard finite difference methodExact schemeMichaelis-Menten equationAdvection-reaction-diffusion equationsLambert W functionPostprint Article