Query expansion techniques generally select new query terms from a set of top ranked documents. Although a user’s manual judgment of those documents would much help to select good expansion terms, it is difficult to get enough feedback from users in practical situations. In this paper we propose a query expansion technique which performs well even if a user notifies just a relevant document and...

The periodic wave solution for the generalized Hirota-Satsuma system was obtained by using the F-expansion method which can be thought of as a generalization of the Jacobi elliptic function method proposed recently. The Adomian decomposition method is used to solve the same system numerically and the approximate solution is compared with the exact solution. Moreover, we analyze the absolute err...

Keywords: Newton's method Multiple roots Iterative methods Nonlinear equations Order of convergence Root-finding a b s t r a c t In this paper, we present a new third-order modification of Newton's method for multiple roots, which is based on existing third-order multiple root-finding methods. Numerical examples show that the new method is competitive to other methods for multiple roots. Solvin...

A numerical order verification technique is applied to demonstrate that the asymptotic expansions of solutions of the Duffing equation obtained respectively by the Lindstedt-Poincaré(LP) method and the modified Lindstedt-Poincaré(MLP) method are uniformly valid for small parameter values. A numerical comparison of error shows that the MLP method is valid whereas the LP method is invalid for lar...

The object of this study was to identify the possible effects of epidermal growth factor (EGF) and insulin-like growth factor 1 (IGF-1) on cumulus expansion, nuclear maturation and fertilization of buffalo cumulus oocyte complexes (COC’s) matured and fertilized in vitro in two serum free media Dulbecco’s modified Eagles medium (DMEM) and Ham’s F-10. Oocytes were matured in vitro for 24 h either...

Functionalized Multi-walled carbon nanotubes (f-MWCNTs) which are modified using nitric acid and sulfuric acid were evaluated to synthesize a uniform nanocomposite via application of TiO2. The f-MWCNTs-TiO2 nanocomposites have been produced via using the chemical simple two-step method. To characterize the structural analysis, scanning electron microscopy...

Recently, a new treatment based on Taylor’s expansion to give the estimate of the convergence radius of iterative method for multiple roots has been presented. It has been successfully applied to enlarge the convergence radius of themodified Newton’s method and Osada’s method for multiple roots. This paper re-investigates the convergence radius of Halley’s method under the condition that the de...

A previous fully relativistic time-dependent close-coupling method [Phys. Rev. A 81, 063431 (2010)], developed to study the photoionization of highly charged atomic ions, is substantially modified to include the full electromagnetic-field potential. Expansion of a one active electron wave function for the time-dependent Dirac equation in spin-orbit eigenfunctions yields close-coupled equations ...

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.

In this paper, we consider a gravitational action containing combination of the Ricci scalar, R, and topological Gauss-Bonnet term, G. Specifically, study cosmological features particular class modified gravity theories selected by symmetry considerations, namely $$f(R,G)= R^n G^{1-n}$$ model. context spatially flat, homogeneous isotropic background, show that currently observed acceleration Un...