Search Results - "MICKENS, R. E"

ANALYSIS OF NON-LINEAR OSCILLATORS HAVING NON-POLYNOMIAL ELASTIC TERMS by MICKENS, R.E.

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Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation by Su, S., Dai, W., Jordan, P.M., Mickens, R.E.

“…The phase-lagging equation (PLE) is a new heat conduction equation which is different from the traditional heat equation since there exists a time lag of the…”
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MATHEMATICAL AND NUMERICAL STUDY OF THE DUFFING-HARMONIC OSCILLATOR by MICKENS, R.E.

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A combined equivalent linearization and averaging perturbation method for non-linear oscillator equations by Mickens, R.E

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A harmonic oscillator having “volleyball damping” by Mickens, R.E., Oyedeji, K., Rucker, S.A.

“…Volleyball damping corresponds to linear damping up to a certain critical velocity, with zero damping above this value. The dynamics of a linear harmonic…”
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CONSTRUCTION AND ANALYSIS OF A NON-STANDARD FINITE DIFFERENCE SCHEME FOR THE BURGERS–FISHER EQUATION by MICKENS, R.E., GUMEL, A.B.

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Preliminary analytical and numerical investigations of a van der Pol type oscillator having discontinuous dependence on the velocity by Mickens, R.E., Oyedeji, K., Rucker, S.A.

“…The van der Pol equation [1, 2] x+ x = epsilon(1 - x2)x, (1) where epsilon is a positive parameter, provides a model of a one-dimensional oscillatory system…”
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A non-standard finite difference scheme for the equations modelling stellar structure by Mickens, R.E.

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Analysis of the simple harmonic oscillator with fractional damping by Mickens, R.E., Oyedeji, K.O., Rucker, S.A.

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FOURIER REPRESENTATIONS FOR PERIODIC SOLUTIONS OF ODD-PARITY SYSTEMS by MICKENS, R.E.

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ANALYTICAL AND NUMERICAL STUDY OF A NON-STANDARD FINITE DIFFERENCE SCHEME FOR THE UNPLUGGED VAN DER POL EQUATION by MICKENS, R.E.

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Nonstandard Finite Difference Schemes for Differential Equations by Mickens, Ronald E.

“…This paper gives an introduction to nonstandard finite difference methods useful for the construction of discrete models of differential equations when…”
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A NON-STANDARD FINITE-DIFFERENCE SCHEME FOR CONSERVATIVE OSCILLATORS by MICKENS, R.E.

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Iteration method solutions for conservative and limit-cycle x1/3 force oscillators by MICKENS, R. E

“…An iterative technique is used to calculate a higher-order approximation to the periodic solutions of a conservative oscillator for which the elastic force…”
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FOURIER ANALYSIS OF A RATIONAL HARMONIC BALANCE APPROXIMATION FOR PERIODIC SOLUTIONS by Mickens, R.E., Semwogerere, D.

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A particular exact solution to the central core model of the renal medulla by Mickens, R.E.

“…We calculate the exact solution to the eight coupled, nonlinear ordinary differential equations describing the central core model of the renal medulla for the…”
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EXACT FINITE DIFFERENCE SCHEMES FOR TWO-DIMENSIONAL ADVECTION EQUATIONS by Mickens, R.E.

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Oscillations in systems having velocity dependent frequencies by MICKENS, R. E, JACKSON, D. D

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Generalization of the Senator–Bapat Method to Systems having Limit Cycles by Mickens, E.R.

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Reduction of computational errors using nonstandard finite difference models by Serfaty de Markus, A., Mickens, R. E.

“…A previously reported bifurcation technique is applied to the construction of nonstandard finite difference representations of systems of nonlinear…”
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