A Fourier analysis is conducted in two-dimensional (2D) Cartesian geometry for the discreteordinates (SN) approximation of the neutron transport problem solved with Richardson iteration (Source Iteration) and Richardson iteration preconditioned with Transport Synthetic Acceleration (TSA), using the Parallel Block-Jacobi (PBJ) algorithm. The results for the un-accelerated algorithm show that con...

Based on a bibliographic review, the article identifies and offers a critical analysis of scientific production by the public health field in Brazil on genetically modified organisms and food (in)security. Of the 716 articles found on the portals of the Scientific Electronic Library Online (SciELO) and the Coordinating Agency for the Development of Higher Education (Capes), only 8 address the f...

in this paper, we consider the inhomogeneous time-fractional nonlinear fisher equation with three known boundary conditions. we first apply a modified homotopy perturbation method for translating the proposed problem to a set of linear problems. then we use the separation variables  method to solve obtained problems. in examples, we illustrate that by right choice of source term in the modified...

in the present study, silver oxyfluoride modified silver electrode was employed to electrocatalytic oxidation of isoniazid. the process of oxidation and its kinetics were established by using cyclic voltammetry, chronoamperometry and amperometry techniques. the modified electrode shows a stable and linear response in the concentration range of 3×10−4 to 2.1×10−3 mol l-1 with a correlation coeff...

In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy o...

Nitrofurazone is one of the antibacterial nitrofuran agents used topically for skin infections. The drug is effective on the majority of infectious microorganisms. Because of the importance of this drug in clinic, in this study various methods of synthesis of nitrofurazone were examined and the most appropriate method, applicable to pharmaceutical industry was chosen and optimized from the poin...

In this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation. This method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation and ...

The sinc method is known as an ecient numerical method for solving ordinary or par-tial dierential equations but the system of dierential equations has not been solved by this method which is the focus of this paper. We have shown that the proposed version of sinc is able to solve sti system while Runge-kutta method can not able to solve. Moreover, Due to the great attention to mathematical mod...

We are concerned with the development of a K−step method for the numerical solution of fuzzy initial value problems. Convergence and stability of the method are also proved in detail. Moreover, a specific method of order 4 is found. The numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.