Recently two variational strategies have been applied to the standard and linear delta expansions for quantum field theories. These strategies, both of which improve the accuracy of the expansions, have the property that for N self-interacting fields at large N the lowest order 5 expansion improved by the variational strategy gives the exact large N result. In this note, we study, in the contex...

the objectives in the cold rolling process include improved sheet surface quality, enhanced steel mechanical strength, and better solidification operations. given the increasing demand for higher steel surface quality, more rapid production, and thinner steel plates, more attention has been directed toward the parameter of temperature in cold rolling as a means of achieving the above objectives...

We demonstrate that the G ′ /G expansion method which is often used in finding exact solutions of nonlinear differential equation is equivalent to the well – known tanh method and application of these methods gives the same exact solutions of nonlinear differential equations.

The NNM (Nonlinear normal modes) have recently been investigated with the method of strained coordinates for spring mass models with some springs with piecewise linear stiffness. The N d.o.f. case and the mathematical validity of the method for large time were rigorously proved. The time validity is related to the nature of contact. For grazing contact, this method and also the multiscale expan...

We have performed analysis of the solar neutrino data including results from the SNO salt phase as well as the combined analysis of the solar and the KamLAND results. The best fit values of neutrino parameters are ∆m2 = 7.1 · 10−5 eV2, tan2 θ = 0.40 with the boron flux fB = 1.04. New SNO results strongly disfavor maximal mixing and the h-LMA region (∆m2 > 10−4 eV2) which is accepted now at the ...

Abstract: In this paper, new algorithms called the “Modified exp( ́Ω)-expansion function method” and “Improved Bernoulli sub-equation function method” have been proposed. The first algorithm is based on the exp( ́Ω(ξ))-expansion method; the latter is based on the Bernoulli sub-Ordinary Differential Equation method. The methods proposed have been expressed comprehensively in this manuscript. The a...