Estimating the left boundary condition of coupled 1-D linear hyperbolic PDEs from right boundary sensing

2016 ◽  
Author(s):  
Henrik Anfinsen ◽  
Florent Di Meglio ◽  
Ole Morten Aamo
Keyword(s):  
Boundary Condition ◽  
Hyperbolic Pdes ◽  
Left Boundary

Cellular automata model simulating traffic car accidents in the on-ramp system

2015 ◽  
Vol 26 (09) ◽  
pp. 1550100 ◽  
Author(s):  
H. Echab ◽  
N. Lakouari ◽  
H. Ez-Zahraouy ◽  
A. Benyoussef
Keyword(s):  
Phase Diagram ◽  
Boundary Condition ◽  
Cellular Automata ◽  
Open Boundary ◽  
Open Boundary Condition ◽  
Cellular Automata Model ◽  
Main Road ◽  
Left Boundary ◽  
Car Accidents

In this paper, using Nagel–Schreckenberg model we study the on-ramp system under the expanded open boundary condition. The phase diagram of the two-lane on-ramp system is computed. It is found that the expanded left boundary insertion strategy enhances the flow in the on-ramp lane. Furthermore, we have studied the probability of the occurrence of car accidents. We distinguish two types of car accidents: the accident at the on-ramp site (Prc) and the rear-end accident in the main road (Pac). It is shown that car accidents at the on-ramp site are more likely to occur when traffic is free on road A. However, the rear-end accidents begin to occur above a critical injecting rate αc1. The influence of the on-ramp length (LB) and position (xC0) on the car accidents probabilities is studied. We found that large LB or xC0 causes an important decrease of the probability Prc. However, only large xC0 provokes an increase of the probability Pac. The effect of the stochastic randomization is also computed.

scholarly journals On the generalized eigenfunctions system of the Sturm–Liouville problem

2008 ◽  
Vol 48 ◽  
pp. 327-332
Author(s):  
Sigita Pečiulytė ◽  
Artūras Štikonas
Keyword(s):  
Boundary Condition ◽  
Nonlocal Boundary ◽  
Liouville Problem ◽  
Left Boundary ◽  
Classical Boundary Condition ◽  
Classical Boundary ◽  
Generalized Eigenfunctions ◽  
Sturm Liouville ◽  
The Right

In this paperwe investigate eigenfunctions and generalized eigenfunctions system of the Sturm–Liouville problem with classical boundary condition on the left boundary and nonlocal boundary conditionsof four types on the right boundary.

One-Dimensional Fin-Tip Boundary Condition Correction II

2001 ◽  
Vol 22 (5) ◽  
pp. 35-40 ◽  
Author(s):  
D. C. Look Jr ◽  
Arvind Krishnan
Keyword(s):  
Boundary Condition ◽  
One Dimensional

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

2006 ◽  
Vol 11 (1) ◽  
pp. 47-78 ◽  
Author(s):  
S. Pečiulytė ◽  
A. Štikonas
Keyword(s):  
Boundary Condition ◽  
Differential Operator ◽  
Boundary Conditions ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Liouville Problem ◽  
Complex Case ◽  
Qualitative Behavior ◽  
Point Boundary ◽  
Sturm Liouville

The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions. We prove general properties of the eigenfunctions and eigenvalues for such a problem in the complex case. In the second part, we investigate the case of real eigenvalues. It is analyzed how the spectrum of these problems depends on the boundary condition parameters. Qualitative behavior of all eigenvalues subject to the nonlocal boundary condition parameters is described.

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