Kung-Traub conjecture states that an iterative method without memory for finding the simple zero of a scalar equation could achieve convergence order 2d−1, and d is the total number of function evaluations. In an article “Babajee, D.K.R. On the Kung-Traub Conjecture for Iterative Methods for Solving Quadratic Equations, Algorithms 2016, 9, 1, doi:10.3390/a9010001”, the author has shown that Kun...

A model of the grain surface chemistry involving the accretion of atoms of two different elements, X and Y, and their reactions to form species X2, XY, and Y2 was examined for a wide range of choices for the values of its three free parameters – the accretion rate of X and Y, the desorption rate of X and the grain surface sweeping time of Y, all considered relative to the grain surface sweeping...

Two different approaches are commonly used for Fabry-Perot Semiconductor Optical Amplifiers (FP SOAs) performance analysis: the Fabry-Perot resonator approach and rate equation approach. Compared with the Fabry-Perot resonator approach, the rate equation approach is more powerful because noise and mode-related performance analysis can be included. However, it has been shown that the results bas...

A simple rate equation model of a standing wave synchronously pumped dye laser yields output pulses which agree qualitatively and quantitatively with recent experimental observations. The shape, amplitude and temporal position of the simulated pulse varies dramatically, not only with cavity length detuning, but also with the gain to loss ratio. Features of pulse formation and stability are pred...

In this work, kinetics and thermodynamics of esterification reaction were studied. This research investigated the esterification reaction between methanol and acidified oil catalyzed by sulfonated cation exchange resin and proposed a new rate equation for consideration of kinetics of this reaction according to the Langmuir-Hinshelwood mechanism. Thermodynamics and kinetics parameters were calcu...

The retrospective study was carried out to examine performance of Pottels height- independent equation compared to Schwartzs height-dependent equation to estimate glomerular filtration rate in 115 children in Indian setting. The Pottels equation performed well compared to updated Schwartz equation (R2=0.94, mean bias 0.25, 95% LOA=20.4, -19.9). The precision was better at lower range of estimat...

X iv :0 71 0. 13 61 v3 [ m at hph ] 1 6 O ct 2 00 7 Blow-up rate for a semi-linear accretive wave equation M. Jazar∗ and Ch. Messikh Abstract. In this paper we consider the semi-linear wave equation: utt − ∆u = ut|ut| in R where 1 ≤ p ≤ 1 + 4 N−1 if N ≥ 2. We give the optimal blow-up rate for blowing up solutions of this equation. AMS Subject Classifications: 35L05,35L67

We consider the fragmentation equation ∂f ∂t (t, x) = −B(x)f(t, x) + ∫ y=∞ y=x k(y, x)B(y)f(t, y)dy, and address the question of estimating the fragmentation parameters i.e. the division rate B(x) and the fragmentation kernel k(y, x) from measurements of the size distribution f(t, ·) at various times. This is a natural question for any application where the sizes of the particles are measured e...