Solution of the traffic flow equation using the finite element method

被引：0

作者：

Mesa, Fernando ^{[1
]}

Devia-Narvaez, Diana ^{[1
]}

Ospina-Ospina, Rogelio ^{[2
]}

机构：

[1] Univ Tecnol Pereira, Dept Matemat, Matemat Aplicadas & Educ GIMAE, Pereira, Colombia

[2] Univ Ind Santander, Escuela Fis, Ciencia Mat Biol & Semicond CIMBIOS, Bucaramanga, Colombia

来源：

UIS INGENIERIAS | 2023年 / 22卷 / 02期

关键词：

combination linear; Dirichlet conditions; Neumann conditions; Robin conditions; contour; partial differential equation; traffic Flow; positive semidefinite matrix; finite element method; numerical solution; tridiagonal; MODEL;

D O I：

10.18273/revuin.v22n2-2023006

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this document we will study and solve the nonlinear partial differential equation, with initial conditions for vehicle entry that serves to model the dynamics of traffic flow. To find a numerical solution to the dynamics that govern the behavior of traffic flow, the Finite Element Method in a spatial dimension was used. In accordance with the temporal dynamics, simulations were developed to know the flow in terms of time. The numerical solution is interesting for predicting the number of vehicles at the entrance to a high-flow road. Some theorems are enunciated that guarantee the existence of the solution and the uniqueness is given by the boundary conditions.

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页码：65 / 71

页数：7

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