Ronald E. Mickens

Publication Activity (10 Years)

Years Active: 1998-2021
Publications (10 Years): 3

Top Topics

Diffusion Equation

Finite Difference

Top Venues

Comput. Math. Appl.

Appl. Math. Lett.

Math. Comput. Simul.

Appl. Math. Comput.

Publications

Ronald E. Mickens, Isom H. Herron
Approximate rational solutions to the Thomas-Fermi equation based on dynamic consistency. Appl. Math. Lett. 116 (2021)
Isom H. Herron, Clement McCalla, Ronald E. Mickens
Traveling wave solutions of Burgers' equation with time delay. Appl. Math. Lett. 107 (2020)
Ronald E. Mickens
NSFD scheme for acoustic propagation with the linearized Euler equations. Math. Comput. Simul. 127 (2016)
Michael Chapwanya, Jean M.-S. Lubuma, Ronald E. Mickens
Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences. Comput. Math. Appl. 68 (9) (2014)
Ronald E. Mickens, Talitha M. Washington
NSFD discretizations of interacting population models satisfying conservation laws. Comput. Math. Appl. 66 (11) (2013)
Matthias Ehrhardt, Ronald E. Mickens
A nonstandard finite difference scheme for convection-diffusion equations having constant coefficients. Appl. Math. Comput. 219 (12) (2013)
Michael Chapwanya, Jean M.-S. Lubuma, Ronald E. Mickens
From enzyme kinetics to epidemiological models with Michaelis-Menten contact rate: Design of nonstandard finite difference schemes. Comput. Math. Appl. 64 (3) (2012)
Ronald E. Mickens
Wave front behavior of traveling wave solutions for a PDE having square-root dynamics. Math. Comput. Simul. 82 (7) (2012)
Ivana Kovacic, Ronald E. Mickens
A generalized van der Pol type oscillator: Investigation of the properties of its limit cycle. Math. Comput. Model. 55 (3-4) (2012)
Ronald E. Mickens
Reanalysis of a Castor model limit cycle calculation. Comput. Math. Appl. 57 (5) (2009)
Ronald E. Mickens
Traveling-wave solutions for a discrete Burgers equation with nonlinear diffusion. Math. Comput. Simul. 80 (4) (2009)
Christophe Letellier, Eduardo M. A. M. Mendes, Ronald E. Mickens
Nonstandard Discretization Schemes Applied to the Conservative Hénon-heiles System. Int. J. Bifurc. Chaos 17 (3) (2007)
Ronald E. Mickens
Determination of denominator functions for a NSFD scheme for the Fisher PDE with linear advection. Math. Comput. Simul. 74 (2-3) (2007)
Ronald E. Mickens
A nonstandard finite difference scheme for a PDE modeling combustion with nonlinear advection and diffusion. Math. Comput. Simul. 69 (5-6) (2005)
Ronald E. Mickens
Nonstandard Finite Difference Schemes for Scalar Advection-reaction Partial Differential Equation. Neural Parallel Sci. Comput. 12 (2) (2004)
Ronald E. Mickens
A nonstandard finite difference scheme for the diffusionless Burgers equation with logistic reaction. Math. Comput. Simul. 62 (1-2) (2003)
Ronald E. Mickens, Denise N. Brewley, Matasha L. Russell
Classroom Note: A Model of Dieting. SIAM Rev. 40 (3) (1998)