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...

Model gerak osilasi vertikal dan torsional merupakan model yang menggambarkan pada batang digantung. Gerak naik turun suatu benda terjadi terus berulang, kemudian waktu tertentu akan berhenti atau mengalami redaman. getaran sudut dari objek rotasi. dasarnya sistem persamaan diferensial orde dua. Tujuan penelitian ini adalah untuk mengetahui solusi numerik menggunakan metode Adams-Bashforth-Moul...

In this paper, I explore the solution of the contaminant transport problem over a random conductivity field. First, I generate a random, correlated conductivity field by convolving independent, uniformly distributed random variables with the identity function. I use finite differences to discretize the diffusion equation to solve for the steady-state pressure gradient using Backward Euler. This...

In this paper, we present a novel second order in time mixed finite element scheme for the Cahn-Hilliard-Navier-Stokes equations with matched densities. The scheme combines a standard second order Crank-Nicholson method for the Navier-Stokes equations and a modification to the Crank-Nicholson method for the Cahn-Hilliard equation. In particular, a second order Adams-Bashforth extrapolation and ...

We investigate the long time behavior of the following efficient second order in time scheme for the 2D Navier-Stokes equation in a periodic box: 3ω − 4ω + ω 2k +∇(2ψ − ψ) · ∇(2ω − ω)− ν∆ω = f, −∆ψ = ω. The scheme is a combination of a 2nd order in time backward-differentiation (BDF) and a special explicit Adams-Bashforth treatment of the advection term. Therefore only a linear constant coeffic...

By applying the Adams-Bashforth-Moulton method (ABM), this paper explores complexity and synchronization of a fractional-order laser dynamical model. The dynamics under variance derivative order q parameters system have examined using multiscale algorithm bifurcation diagram. Numerical simulation outcomes demonstrate that generates chaos with decreasing q. Moreover, designs coupled network syst...

A method for variable-rate data sampling is proposed for the purpose of low-power data acquisition in a small footprint microsystem. The procedure enables energy saving by utilizing dynamic power management techniques and is based on the Adams–Bashforth and Adams–Moulton multistep predictorcorrector methods for ordinary differential equations. Newton– Gregory backward difference interpolation f...

In this article, the numerical adaptive predictor corrector (Apc-ABM) method is presented to solve generalized Caputo fractional initial value problems. The Apc-ABM was utilized establish approximate series solutions. technique considered be an extension original Adams–Bashforth–Moulton approach. Numerical simulations and figures are discussed, in order show efficiency of proposed method. futur...

Semi-discrete Galerkin formulations of transient wave equations, either with conforming or discontinuous Galerkin finite element discretizations, typically lead to large systems of ordinary differential equations. When explicit time integration is used, the time-step is constrained by the smallest elements in the mesh for numerical stability, possibly a high price to pay. To overcome that overl...