The formulation and preliminary results of a 3-D discrete electron transport simulation are presented. Assuming a magnetic and electric field distribution in the near-field of a Hall thruster, a leapfrog time-integrating method is utilized to track electrons launched from a simulated cathode to obtain statistics including estimates of the Hall parameter and anode/beam current ratios. It is show...

In this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. The method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

We calculate the η-localization of the motivic stable homotopy ring over C, confirming a conjecture of Guillou and Isaksen. Our approach is via the motivic Adams-Novikov spectral sequence. In fact, work of Hu, Kriz and Ormsby implies that it suffices to compute the α1localization of the classical Adams-Novikov E2-term, and this is what we do. Guillou and Isaksen also propose a pattern of differ...

Solving Ordinary Differential Equations (ODEs) by using Partitioning Block Intervalwise (PBI) technique is our aim in this paper. The PBI technique is based on Block Adams Method and Backward Differentiation Formula (BDF). Block Adams Method only use the simple iteration for solving while BDF requires Newtonlike iteration involving Jacobian matrix of ODEs which consumes a considerable amount of...

We analyze the behavior of an ensemble time integrators applied to semi-discrete problem resulting from spectral discretization equations describing Boussinesq thermal convection in a cylindrical annulus. The are cast their vorticity-streamfunction formulation that yields differential algebraic equation (DAE). comprises 28 members: 4 implicit-explicit multistep schemes, 22 Runge-Kutta (IMEX-RK)...

Most of drivers have to compensate small directional deviations from the desired driving path when disturbances such as crosswinds, overtakings, road irregularities and unintended driver inputs  are imposed. These types of deviations have a tiring effect on driver and traffic’s safety and should be minimised. To increase the understanding the influence of vehicle’s properties in crosswind and o...