1 citations · 1 across the 10 of their papers we have counts for
10 papers
The Impact and Influence of Academic Genealogies
Bryan Briones, Ronald E. Mickens, Charmayne Patterson
We introduce the concept of an academic genealogy, or AG, and illustrate how AG charts may be constructed and then demonstrate how this methodology can be used by applying it to cr…
Construction and Analysis of a Discrete Heat Equation Using Dynamic Consistency: The Meso-scale Limit
Ronald E. Mickens, Talitha Washington
We present and analyze a new derivation of the meso-level behavior of a discrete microscopic model of heat transfer. This construction is based on the principle of dynamic consiste…
Dynamically Consistent Approximate Rational Solutions to the Thomas-Fermi Equation
Ronald E. Mickens, Isom H. Herron
We construct two rational approximate solutions to the Thomas-Fermi (TF) nonlinear differential equation. These expressions follow from an application of the principle of dynamic c…
A note on exponential-type solutions for the linear, delayed heat partial differential equation
Isom H. Herron, Ronald E. Mickens
We construct a class of exponential type solutions for the linear, delayed heat equation. These representations may be used to provide a priori ansatzes for certain boundary and/or…
The Imani Periodic Functions: Genesis and Preliminary Results
Ronald E. Mickens
The Leah-Hamiltonian, , is introduced as a functional equation for and . By means of a nonlinear transformation to new independent variables,…
A note on the construction of a 'valid' NSFD scheme for the Lotka-Volterra equations
William Dula, Ronald E. Mickens
We demonstrate the construction of an explicit NSFD discretization for the standard Lotka-Volterra equations. In contrast to previous NSFD schemes, our representation is dynamic co…
Consequences of Culling in Deterministic ODE Predator-Prey Models
Ronald E. Mickens, Maxine Harlemon, Kale Oyedeji
We show, within the context of the standard class of deterministic ODE predator-prey mathematical models, that predator culling does not produce a long term decrease in the predato…
Investigation of Power-Law Damping/Dissipative Forces
Ronald E. Mickens, Kale Oyedeji
The properties of a one space-dimension, one particle dynamical system under the influence of a purely dissipative force are investigated. Assuming this force depends only on the v…
Nonlinear-damped Duffing oscillators having finite time dynamics
Ronald E. Mickens, Ray Bullock, Warren E. Collins +1
A class of modified Duffing oscillator differential equations, having nonlinear damping forces, are shown to have finite time dynamics, i.e., the solutions oscillate with only a fi…
A Note on an NSFD Scheme for a Mathematical Model of Respiratory Virus Transmission
Ronald E. Mickens, Talitha M. Washington
We construct a nonstandard finite difference (NSFD) scheme for an SIRS mathematical model of respiratory virus transmission. This discretization is in full compliance with the NSFD…