Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method

This study gives an overview of nonlinear partial differential transport-density equation with diffusion traffic flow model. Basically, the first integral method (FIM) and the generalized hyperbolic functions method (GHFM) are employed to solve the proposed model and to give compelling evidence that...

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Main Author:	Moner Soliby, Rfaat
Format:	Thesis
Language:	English English English
Published:	2020
Subjects:	TK7800-8360 Electronics
Online Access:	http://eprints.uthm.edu.my/1113/1/24p%20RFAAT%20MONER%20SOLIBY.pdf http://eprints.uthm.edu.my/1113/2/RFAAT%20MONER%20SOLIBY%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/1113/3/RFAAT%20MONER%20SOLIBY%20WATERMARK.pdf
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id	my-uthm-ep.1113
record_format	uketd_dc
spelling	my-uthm-ep.11132021-09-22T04:42:59Z Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method 2020-10 Moner Soliby, Rfaat TK7800-8360 Electronics This study gives an overview of nonlinear partial differential transport-density equation with diffusion traffic flow model. Basically, the first integral method (FIM) and the generalized hyperbolic functions method (GHFM) are employed to solve the proposed model and to give compelling evidence that regularization of the conservation law by adding viscosity that will undeniably remove the singularity and the weak solution obtained by the characteristic method. As long as, continuity equation leads to discontinuous solutions, abrupt change of the traffic density; thus the diffusion was introduced so as to prevent incrementally deformation of the wave so that shock, rarefication and singularity will not be existed anymore. Subsequently, smooth the resulting density field between the two asymptotic states. On the base of the solution, physical interpretations for some obtained solutions were discussed in order to detect the effects of diffusion on this dynamical traffic flow model. 2020-10 Thesis http://eprints.uthm.edu.my/1113/ http://eprints.uthm.edu.my/1113/1/24p%20RFAAT%20MONER%20SOLIBY.pdf text en public http://eprints.uthm.edu.my/1113/2/RFAAT%20MONER%20SOLIBY%20COPYRIGHT%20DECLARATION.pdf text en staffonly http://eprints.uthm.edu.my/1113/3/RFAAT%20MONER%20SOLIBY%20WATERMARK.pdf text en validuser mphil masters Universiti Tun Hussein Onn Malaysia Faculty of Applied Science and Technology
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English English English
topic	TK7800-8360 Electronics
spellingShingle	TK7800-8360 Electronics Moner Soliby, Rfaat Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method
description	This study gives an overview of nonlinear partial differential transport-density equation with diffusion traffic flow model. Basically, the first integral method (FIM) and the generalized hyperbolic functions method (GHFM) are employed to solve the proposed model and to give compelling evidence that regularization of the conservation law by adding viscosity that will undeniably remove the singularity and the weak solution obtained by the characteristic method. As long as, continuity equation leads to discontinuous solutions, abrupt change of the traffic density; thus the diffusion was introduced so as to prevent incrementally deformation of the wave so that shock, rarefication and singularity will not be existed anymore. Subsequently, smooth the resulting density field between the two asymptotic states. On the base of the solution, physical interpretations for some obtained solutions were discussed in order to detect the effects of diffusion on this dynamical traffic flow model.
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Moner Soliby, Rfaat
author_facet	Moner Soliby, Rfaat
author_sort	Moner Soliby, Rfaat
title	Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method
title_short	Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method
title_full	Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method
title_fullStr	Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method
title_full_unstemmed	Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method
title_sort	solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method
granting_institution	Universiti Tun Hussein Onn Malaysia
granting_department	Faculty of Applied Science and Technology
publishDate	2020
url	http://eprints.uthm.edu.my/1113/1/24p%20RFAAT%20MONER%20SOLIBY.pdf http://eprints.uthm.edu.my/1113/2/RFAAT%20MONER%20SOLIBY%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/1113/3/RFAAT%20MONER%20SOLIBY%20WATERMARK.pdf
_version_	1747830739542474752

Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method

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