Numerical solution of nonlinear equations of traffic flow density using spectral methods by filter

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dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorNajafi, Seyed Esmaeil Sadat
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorAbbasbandy, Saeid
dc.contributor.authorMalkhalifeh, Mohsen Rostamy
dc.date.accessioned2025-04-17T14:14:16Z
dc.date.available2025-04-17T14:14:16Z
dc.date.issued2025
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractThis 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.
dc.identifier.citationNajafi, 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.
dc.identifier.doi10.1007/s12190-024-02252-8
dc.identifier.endpage763
dc.identifier.issn1598-5865
dc.identifier.issn1865-2085
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85205706715
dc.identifier.scopusqualityQ1
dc.identifier.startpage743
dc.identifier.urihttp://dx.doi.org/10.1007/s12190-024-02252-8
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6291
dc.identifier.volume71
dc.identifier.wosWOS:001329510400003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherSpringer nature
dc.relation.ispartofNumerical solution of nonlinear equations of traffic flow density using spectral methods by filter
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectEliminates Shock
dc.subjectFilter
dc.subjectSpectral Methods
dc.subjectTraffic Flow
dc.titleNumerical solution of nonlinear equations of traffic flow density using spectral methods by filter
dc.typeArticle

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