Mickens, Ronald E.; Washington, Talitha M. A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction-advection-diffusion PDE. (English) Zbl 1466.65074 J. Difference Equ. Appl. 26, No. 11-12, 1423-1427 (2020). MSC: 65M06 65N06 35B09 76V05 PDFBibTeX XMLCite \textit{R. E. Mickens} and \textit{T. M. Washington}, J. Difference Equ. Appl. 26, No. 11--12, 1423--1427 (2020; Zbl 1466.65074) Full Text: DOI
Mickens, Ronald; Oyedeji, Kale Traveling wave solutions to modified Burgers and diffusionless Fisher PDE’s. (English) Zbl 1426.35065 Evol. Equ. Control Theory 8, No. 1, 139-147 (2019). MSC: 35C07 35K57 35B09 35B40 35C05 PDFBibTeX XMLCite \textit{R. Mickens} and \textit{K. Oyedeji}, Evol. Equ. Control Theory 8, No. 1, 139--147 (2019; Zbl 1426.35065) Full Text: DOI
Mickens, Ronald E. A note on exact finite difference schemes for modified Lotka-Volterra differential equations. (English) Zbl 1416.65221 J. Difference Equ. Appl. 24, No. 6, 1016-1022 (2018). MSC: 65L12 65L05 92D25 PDFBibTeX XMLCite \textit{R. E. Mickens}, J. Difference Equ. Appl. 24, No. 6, 1016--1022 (2018; Zbl 1416.65221) Full Text: DOI
Chapwanya, Michael; Lubuma, Jean M.-S.; Mickens, Ronald E. Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences. (English) Zbl 1362.65084 Comput. Math. Appl. 68, No. 9, 1071-1082 (2014). MSC: 65M06 92D25 35K57 92C17 PDFBibTeX XMLCite \textit{M. Chapwanya} et al., Comput. Math. Appl. 68, No. 9, 1071--1082 (2014; Zbl 1362.65084) Full Text: DOI
Mickens, Ronald E.; Washington, Talitha M. NSFD discretizations of interacting population models satisfying conservation laws. (English) Zbl 1350.65075 Comput. Math. Appl. 66, No. 11, 2307-2316 (2013). MSC: 65L05 34A34 92D25 65L12 PDFBibTeX XMLCite \textit{R. E. Mickens} and \textit{T. M. Washington}, Comput. Math. Appl. 66, No. 11, 2307--2316 (2013; Zbl 1350.65075) Full Text: DOI
Chapwanya, Michael; Lubuma, Jean M.-S.; Mickens, Ronald E. Nonstandard finite difference schemes for Michaelis–Menten type reaction-diffusion equations. (English) Zbl 1255.65141 Numer. Methods Partial Differ. Equations 29, No. 1, 337-360 (2013). MSC: 65L12 PDFBibTeX XMLCite \textit{M. Chapwanya} et al., Numer. Methods Partial Differ. Equations 29, No. 1, 337--360 (2013; Zbl 1255.65141) Full Text: DOI
Mickens, Ronald E. Wave front behavior of traveling wave solutions for a PDE having square-root dynamics. (English) Zbl 1248.65111 Math. Comput. Simul. 82, No. 7, 1271-1277 (2012). MSC: 65M99 35K55 35B40 PDFBibTeX XMLCite \textit{R. E. Mickens}, Math. Comput. Simul. 82, No. 7, 1271--1277 (2012; Zbl 1248.65111) Full Text: DOI
Mickens, Ronald E. An exact discretization of Michaelis-Menten type population equations. (English) Zbl 1225.92048 J. Biol. Dyn. 5, No. 5, 391-397 (2011). MSC: 92D25 39A60 65D30 PDFBibTeX XMLCite \textit{R. E. Mickens}, J. Biol. Dyn. 5, No. 5, 391--397 (2011; Zbl 1225.92048) Full Text: DOI
Mickens, Ronald E. A SIR-model with square-root dynamics: an NSFD scheme. (English) Zbl 1183.92073 J. Difference Equ. Appl. 16, No. 2-3, 209-216 (2010); corrigendum ibid. 16, No. 8, 1015 (2010). MSC: 92D30 34A34 65L12 34C05 PDFBibTeX XMLCite \textit{R. E. Mickens}, J. Difference Equ. Appl. 16, No. 2--3, 209--216 (2010; Zbl 1183.92073) Full Text: DOI
Mickens, Ronald E. Traveling-wave solutions for a discrete Burgers equation with nonlinear diffusion. (English) Zbl 1182.65138 Math. Comput. Simul. 80, No. 4, 855-859 (2009). MSC: 65M06 35Q53 65M12 PDFBibTeX XMLCite \textit{R. E. Mickens}, Math. Comput. Simul. 80, No. 4, 855--859 (2009; Zbl 1182.65138) Full Text: DOI
Jordan, P. M.; Dai, W.; Mickens, R. E. A note on the delayed heat equation: instability with respect to initial data. (English) Zbl 1258.80002 Mech. Res. Commun. 35, No. 6, 414-420 (2008). MSC: 80A20 35Q79 PDFBibTeX XMLCite \textit{P. M. Jordan} et al., Mech. Res. Commun. 35, No. 6, 414--420 (2008; Zbl 1258.80002) Full Text: DOI
Mickens, Ronald E. Numerical integration of population models satisfying conservation laws: NSFD methods. (English) Zbl 1284.92116 J. Biol. Dyn. 1, No. 4, 427-436 (2007). MSC: 92D40 34A45 65L12 92-08 92D30 PDFBibTeX XMLCite \textit{R. E. Mickens}, J. Biol. Dyn. 1, No. 4, 427--436 (2007; Zbl 1284.92116) Full Text: DOI
Mickens, Ronald E. Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition. (English) Zbl 1114.65094 Numer. Methods Partial Differ. Equations 23, No. 3, 672-691 (2007). MSC: 65L12 65M06 65L05 34A34 35K55 35Q53 35K15 PDFBibTeX XMLCite \textit{R. E. Mickens}, Numer. Methods Partial Differ. Equations 23, No. 3, 672--691 (2007; Zbl 1114.65094) Full Text: DOI
Mickens, Ronald E. Determination of denominator functions for a NSFD scheme for the Fisher PDE with linear advection. (English) Zbl 1110.65083 Math. Comput. Simul. 74, No. 2-3, 190-195 (2007). MSC: 65M06 35K55 PDFBibTeX XMLCite \textit{R. E. Mickens}, Math. Comput. Simul. 74, No. 2--3, 190--195 (2007; Zbl 1110.65083) Full Text: DOI
Mickens, Ronald E. A nonstandard finite difference scheme for a PDE modeling combustion with nonlinear advection and diffusion. (English) Zbl 1119.65374 Math. Comput. Simul. 69, No. 5-6, 439-446 (2005). MSC: 65M06 35K57 PDFBibTeX XMLCite \textit{R. E. Mickens}, Math. Comput. Simul. 69, No. 5--6, 439--446 (2005; Zbl 1119.65374) Full Text: DOI
Mickens, R. E. A nonstandard finite difference scheme for a Fisher PDE having nonlinear diffusion. (English) Zbl 1036.65071 Comput. Math. Appl. 45, No. 1-3, 429-436 (2003). MSC: 65M06 35K57 65M12 PDFBibTeX XMLCite \textit{R. E. Mickens}, Comput. Math. Appl. 45, No. 1--3, 429--436 (2003; Zbl 1036.65071) Full Text: DOI
Mickens, Ronald E. A nonstandard finite-difference scheme for the Lotka–Volterra system. (English) Zbl 1025.65047 Appl. Numer. Math. 45, No. 2-3, 309-314 (2003). MSC: 65L12 34A34 65L05 92D25 PDFBibTeX XMLCite \textit{R. E. Mickens}, Appl. Numer. Math. 45, No. 2--3, 309--314 (2003; Zbl 1025.65047) Full Text: DOI
Mickens, Ronald E. A nonstandard finite difference scheme for the diffusionless Burgers equation with logistic reaction. (English) Zbl 1015.65036 Math. Comput. Simul. 62, No. 1-2, 117-124 (2003). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{R. E. Mickens}, Math. Comput. Simul. 62, No. 1--2, 117--124 (2003; Zbl 1015.65036) Full Text: DOI
Mickens, Ronald E. A nonstandard finite difference scheme for a nonlinear PDE having diffusive shock wave solutions. (English) Zbl 0982.65095 Math. Comput. Simul. 55, No. 4-6, 549-555 (2001). MSC: 65M06 35L67 PDFBibTeX XMLCite \textit{R. E. Mickens}, Math. Comput. Simul. 55, No. 4--6, 549--555 (2001; Zbl 0982.65095) Full Text: DOI
Mickens, Ronald E. Nonstandard finite difference schemes for reaction-diffusion equations having linear advection. (English) Zbl 0957.65081 Numer. Methods Partial Differ. Equations 16, No. 4, 361-364 (2000). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M06 35K57 65M12 PDFBibTeX XMLCite \textit{R. E. Mickens}, Numer. Methods Partial Differ. Equations 16, No. 4, 361--364 (2000; Zbl 0957.65081) Full Text: DOI
Mickens, Ronald E. Nonstandard finite difference schemes for reaction-diffusion equations. (English) Zbl 0926.65085 Numer. Methods Partial Differ. Equations 15, No. 2, 201-214 (1999). Reviewer: A.I.Tolstykh (Moskva) MSC: 65M06 65M12 35K57 PDFBibTeX XMLCite \textit{R. E. Mickens}, Numer. Methods Partial Differ. Equations 15, No. 2, 201--214 (1999; Zbl 0926.65085) Full Text: DOI
Mickens, R. E. Asymptotic properties of solutions to discrete Coulomb equations. (English) Zbl 0940.81015 Comput. Math. Appl. 36, No. 10-12, 285-289 (1998). MSC: 81Q05 81-08 81U20 PDFBibTeX XMLCite \textit{R. E. Mickens}, Comput. Math. Appl. 36, No. 10--12, 285--289 (1998; Zbl 0940.81015) Full Text: DOI
Mickens, R. E. Construction of asymptotic solutions to discrete Bessel equations. (English) Zbl 0810.39001 Comput. Math. Appl. 28, No. 1-3, 219-226 (1994). Reviewer: J.Popenda (Poznań) MSC: 39A10 65L12 34B30 65L10 PDFBibTeX XMLCite \textit{R. E. Mickens}, Comput. Math. Appl. 28, No. 1--3, 219--226 (1994; Zbl 0810.39001) Full Text: DOI