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math.CA2020
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…
math.AP2020
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…