Numerical solution of nonlinear equations of traffic flow density using spectral methods by filter
Yükleniyor...
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer nature
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper introduces an innovative approach that marries the spectral method with a time-dependent partial differential equation filter to tackle the phenomenon of shock waves in traffic flow modeling. Through the strategic application of Discrete low-pass filters, this method effectively mitigates shock-induced deviations, leading to significantly more accurate results compared to conventional spectral techniques. We conduct a thorough examination of the stability conditions inherent to this approach, providing valuable insights into its robustness. To substantiate its effectiveness, we present a series of numerical examples illustrating the method's prowess in delivering precise solutions. Comparative analysis against established methods such as Lax and Cu reveals a marked superiority in accuracy. This work not only contributes a novel numerical technique to the field of traffic flow modeling but also addresses a persistent challenge, offering a promising avenue for further research and practical applications.
Açıklama
Anahtar Kelimeler
Eliminates Shock, Filter, Spectral Methods, Traffic Flow
Kaynak
Numerical solution of nonlinear equations of traffic flow density using spectral methods by filter
WoS Q DeÄŸeri
Q1
Scopus Q DeÄŸeri
Q1
Cilt
71
Sayı
1
Künye
Najafi, S. E. S., Allahviranloo, T., Abbasbandy, S., & Malkhalifeh, M. R. (2025). Numerical solution of nonlinear equations of traffic flow density using spectral methods by filter. Journal of Applied Mathematics and Computing, 71(1), 743-763.
