In this paper, a reduced-order finite element method (FEM), which is based on proper orthogonal decomposition (POD) technique, is applied to the time fracti
We study the LWR model and a conserved higher-order model on a road network.The Riemann problem at a junction for each model is discussed, which is crucial
Public walking facilities usually face pedestrian evacuation and other safety issues.The mathematical modeling and simulation of pedestrian flow, which desc
We combine a δ-mapping algorithm with the Runge-Kutta discontinuous Galerkin (RKDG) scheme for solving hyperbolic conservation laws with discontinuous flux
The influence of exhaust emissionon the climate draws more and more attention in the world.Considering a single CBD city by a continuum model, we establish
The morning commute problem for a single bottleneck is extended to model the situation that bottleneck capacity increases from sl to s2 as the queue length
As we all know, force can be transmitted and accumulated.Through analysing the movement mechanism of multiple objects connected by spings, we introduce a me
This paper extends the morning commute problem to consider the stochastic demand, which comprises of two parts, infrequent travelers and commuters.The total
Topology optimization problem, also the traffic flow problem is transformed to topology optimization, is solved by the application of the improved variable