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ORCIDRonald E. Mickens
Person information
- affiliation: Clark Atlanta University, Department of Physics, GA, USA
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Books and Theses
- 2020
[b3]Ronald E. Mickens:
Nonstandard Finite Difference Schemes - Methodology and Applications. WorldScientific 2020, ISBN 9789811222535, pp. 1-332- 2004
- [b2]Ronald E. Mickens:
Mathematical Methods for the Natural and Engineering Sciences. Series on Advances in Mathematics for Applied Sciences 65, World Scientific 2004, ISBN 978-981-238-750-9, pp. 1-540 - 1996
- [b1]Ronald E. Mickens:
Oscillations in Planar Dynamic Systems. Series on Advances in Mathematics for Applied Sciences 37, World Scientific 1996, ISBN 978-981-02-2292-5, pp. 1-340
Journal Articles
- 2021
- [j17]Ronald E. Mickens, Isom H. Herron
:
Approximate rational solutions to the Thomas-Fermi equation based on dynamic consistency. Appl. Math. Lett. 116: 106994 (2021) - 2020
- [j16]Isom H. Herron, Clement McCalla, Ronald E. Mickens:
Traveling wave solutions of Burgers' equation with time delay. Appl. Math. Lett. 107: 106496 (2020) - 2016
- [j15]Ronald E. Mickens:
NSFD scheme for acoustic propagation with the linearized Euler equations. Math. Comput. Simul. 127: 189-193 (2016) - 2014
- [j14]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): 1071-1082 (2014) - 2013
- [j13]Matthias Ehrhardt, Ronald E. Mickens:
A nonstandard finite difference scheme for convection-diffusion equations having constant coefficients. Appl. Math. Comput. 219(12): 6591-6604 (2013) - [j12]Ronald E. Mickens, Talitha M. Washington:
NSFD discretizations of interacting population models satisfying conservation laws. Comput. Math. Appl. 66(11): 2307-2316 (2013) - 2012
- [j11]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): 201-213 (2012) - [j10]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): 645-653 (2012) - [j9]Ronald E. Mickens:
Wave front behavior of traveling wave solutions for a PDE having square-root dynamics. Math. Comput. Simul. 82(7): 1271-1277 (2012) - 2009
- [j8]Ronald E. Mickens:
Reanalysis of a Castor model limit cycle calculation. Comput. Math. Appl. 57(5): 740-743 (2009) - [j7]Ronald E. Mickens:
Traveling-wave solutions for a discrete Burgers equation with nonlinear diffusion. Math. Comput. Simul. 80(4): 855-859 (2009) - 2007
- [j6]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): 891-902 (2007) - [j5]Ronald E. Mickens:
Determination of denominator functions for a NSFD scheme for the Fisher PDE with linear advection. Math. Comput. Simul. 74(2-3): 190-195 (2007) - 2005
- [j4]Ronald E. Mickens:
A nonstandard finite difference scheme for a PDE modeling combustion with nonlinear advection and diffusion. Math. Comput. Simul. 69(5-6): 439-446 (2005) - 2004
- [j3]Ronald E. Mickens:
Nonstandard Finite Difference Schemes for Scalar Advection-reaction Partial Differential Equation. Neural Parallel Sci. Comput. 12(2): 163-174 (2004) - 2003
- [j2]Ronald E. Mickens:
A nonstandard finite difference scheme for the diffusionless Burgers equation with logistic reaction. Math. Comput. Simul. 62(1-2): 117-124 (2003) - 1998
- [j1]Ronald E. Mickens, Denise N. Brewley, Matasha L. Russell:
Classroom Note: A Model of Dieting. SIAM Rev. 40(3): 667-672 (1998)
Coauthor Index
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