Basrah Journal of Science

The present paper is defining and studding a modification of the general family sequence of summation Baskakov-type operators. This modification is preserved that the functions 1 and e^2ax, where a>0 is fixed. We show that the uniform convergence theorem of this sequence by using the modulus of continuity to the function being approximated. Finally, we introduce the asymptotic formula for the Voronovskaya-type theorem

In this article, we present the numerical investigation for compressible Newtonian flow in two dimensional axisymmetric channel. Galerkin finite element method is applied to accommodate compressible and incompressible flows. A continuity equation and time-dependent conservation of momentum equations are used to describe the motion of the fluid, which are maintained in the cylindrical coordinate system (axisymmetric). To meet the method analysis, Poiseuille flow along a circular channel under an isothermal state is used as a simple test problem. This test is conducted by taking a circular section of the pipe. Comparision between compressible and incompressible results in terms of convergence has been conducted for axial velocity and pressure. Findings reveal that, convergence-rates of velocity and pressure is faster an incompressible case compared to compressible. In addition, the level of velocity convergence is higher than pressure for both compressible and incompressible. Moreover, the low level of Mach number demonstrates that piecewise-constant density interpolation is equitable to linear density interpolation

In this study, we suggest and analyze two new one-parameter families of an efficient iterative methods free from higher derivatives for solving nonlinear equations based on Newton theorem of calculus and Bernstein quadrature formula, Bernoulli polynomial basis, Taylor’s expansion and some numerical techniques. We prove that the new iterative methods reach orders of convergence ten with six and eight with four functional evaluations per iteration, which implies that the efficiency index of the new iterative methods is (10)1/6 ≅ 1.4678 and (8)1/4 ≅ 1.6818 respectively. Numerical examples are provided to show the efficiency and performance of our iterative methods, compare to Newton’s method and other relevant methods.

Green synthesis of cytotoxic assay of iron oxide nanoparticles (Fe2O3) NPs was on cancer cell line prepared from mixing (henna) extract with iron chloride (III) salts at 200 oC for 2 hours by simple chemical method. (Fe2O3) NPs were identified using X-ray diffraction, filed Emission-Scanning Electron Microscopy, Ultravolite visble, and Photoluminescence. XRD measurements explained crystalline size (30) nm with (hexagonal) structure for (Fe2O3) NPs using henna extract. FE-SEM showed average grain size of (Fe2O3) NPs were (18.61) nm. (Fe2O3) NPs were tested for their cytotoxic effect against human cancer cells and inhibition rate % results were very high. Results of inhibition rate % for (Fe2O3) NPs using henna extract for human cancer cells were (78.9%).

In this paper, a theoretical model for electron transport through two branch interferometer with one quantum dot in each of its arms has been considered. Both a magnetic flux Φ applied on the circuit and the Rashba spin orbit interaction inside the two dots are taken into account, Rashba spin-orbit interaction contribution are exhibited obviously in the double quantum dots system for the thermoelectric effect, by varying the temperature of the leads , we calculate the conductance (G) and the thermopower (S).