Computational Analysis of Local Fractional LWR Model Occurring in a Fractal Vehicular Traffic Flow Article Swipe
Ved Prakash Dubey
,
Devendra Kumar
,
Hashim M. Alshehri
,
Sarvesh Dubey
,
Jagdev Singh
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3390/fractalfract6080426
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3390/fractalfract6080426
In this paper, we implement computational methods, namely the local fractional natural homotopy analysis method (LFNHAM) and local fractional natural decomposition method (LFNDM), to examine the solution for the local fractional Lighthill–Whitham–Richards (LFLWR) model occurring in a fractal vehicular traffic flow. The LWR approach preferably models the traffic flow and represents the traffic patterns via the supposition of speed–density equilibrium relationship and continuity equation. This model is mostly preferred for modeling of traffic flow because of its simple approach and interpretive ability to examine the qualitative patterns of traffic flow. The methods applied here incorporate the local fractional natural transform (LFNT) and derive the solutions for the LFLWR model in a closed form. Two examples are provided to demonstrate the accuracy and efficiency of the suggested methods. Furthermore, the numerical simulations have also been presented for each of the examples in the fractal domain. Additionally, the explored solutions for both examples have also been compared and are in good match with already existing solutions in literature. The methods applied in this work make the computational process easier as compared to other iterative methods and still provide precise solutions.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/fractalfract6080426
- https://www.mdpi.com/2504-3110/6/8/426/pdf?version=1659680719
- OA Status
- gold
- Cited By
- 16
- References
- 69
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4289131823
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- OpenAlex ID
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https://openalex.org/W4289131823Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3390/fractalfract6080426Digital Object Identifier
- Title
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Computational Analysis of Local Fractional LWR Model Occurring in a Fractal Vehicular Traffic FlowWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-07-31Full publication date if available
- Authors
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Ved Prakash Dubey, Devendra Kumar, Hashim M. Alshehri, Sarvesh Dubey, Jagdev SinghList of authors in order
- Landing page
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https://doi.org/10.3390/fractalfract6080426Publisher landing page
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https://www.mdpi.com/2504-3110/6/8/426/pdf?version=1659680719Direct link to full text PDF
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
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https://www.mdpi.com/2504-3110/6/8/426/pdf?version=1659680719Direct OA link when available
- Concepts
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Fractal, Traffic flow (computer networking), Flow (mathematics), Computer science, Simple (philosophy), Applied mathematics, Mathematical optimization, Domain (mathematical analysis), Algorithm, Mathematics, Mathematical analysis, Geometry, Epistemology, Philosophy, Computer securityTop concepts (fields/topics) attached by OpenAlex
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16Total citation count in OpenAlex
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2025: 2, 2024: 4, 2023: 5, 2022: 5Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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