1 This article considers the dynamic user equilibrium (DUE) problem for parallel networks. The network 2 dynamics are modeled using a Godunov discretization of the Lighthill-Williams-Richards partial differential 3 equation with a trapezoidal flux function. The model is augmented with an additional constraint that prevents 4 vehicle holding which is a flaw in the discretization. The departure r...

Monitoring and control of traffic networks represent alternative, inexpensive strategies to minimize congestion. As the number sensors is naturally constrained by budgetary requirements, real-time estimation flow in road segments that are not equipped with significant importance - thereby providing situational awareness guiding feedback strategies. To end, firstly we build a generalized model f...

diffusivity equation commonly used for pressure distribution prediction in porous media results from substituting equation of state and continuity equation in navier-stokes momentum equation. from mathematical point of view this equation format shows infinite propagation speed for pressure pulse through porous media, which is physically impossible. this issue may caused by numerous assumptions ...

In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreo...

won{gil park [won{gil park, j. math. anal. appl., 376 (1) (2011) 193{202] proved the hyers{ulam stability of the cauchy functional equation, the jensen functional equation and the quadraticfunctional equation in 2{banach spaces. one can easily see that all results of this paper are incorrect.hence the control functions in all theorems of this paper are not correct. in this paper, we correctthes...

A new theoretical model is presented for an aquatic vehicle self-propelled by a rigid foil undergoing pitching oscillations generated torque of small amplitude applied at arbitrary pivot axis which the elastically supported to allow passive heaving motion. The based on 2D linear potential-flow theory coupled with dynamics semi-passive flapping mounted hull through translational and torsional sp...

The design and management of infrastructure is a significant challenge for traffic engineers planners. Accurate characterization necessary effective utilization. Thus, models are required that can characterize variety conditions be employed homogeneous, heterogeneous, equilibrium non-equilibrium traffic. Lighthill-Whitham-Richards (LWR) model widely used because its simplicity. This characteriz...

The increasing volume of vehicles on the road has had a significant impact traffic flow. Congestion in urban areas is now major concern. To mitigate congestion, an accurate model required which based realistic dynamics. A new proposed conservation law considers dynamics at transitions. Traffic alignment to forward conditions affected by time and distance between vehicles. Thus, well-known Light...

SUMMARY Recent geomagnetic observations reveal localized oscillations in the field’s secular acceleration at high latitudes, with periods of about 20 yr. Several types waves rotating magnetized fluids have been proposed to explain equatorial similar frequencies. Among these are non-axisymmetric Alfvén waves, magneto-Coriolis and, presence fluid stratification, magnetic-Archimedes–Coriolis (MAC)...