Bale DS, Leveque RJ, Mitran S, Rossmanith JA, “A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions”, SIAM Journal on Scientific Computing, 2003, 24 (3), 955-978.
Borges R, Carmona M, Costa B, Don WS, “An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws”, Journal of Computational Physics, 2008, 227 (6), 3191-3211.
Del Castillo JM, Pintado P, Benitez FG, “The reaction time of drivers and the stability of traffic flow”, Transportation Research Part B: Methodological, 1994, 28 (1), 35-60.
Chen J, Shi Z, Hu Y, “Numerical solutions of a multi-class traffic flow model on an inhomogeneous highway using a high-resolution relaxed scheme”, Journal of Zhejiang University SCIENCE C, 2012, 13 (1), 29-36.
Davoodi N, Adaptive Numerical Methods for Macroscopic Traffic Flow Problems. Ferdowsi University of Mashhad, 2014 (In Persian).
Delis AI, Nikolos IK, Papageorgiou M, “High-resolution numerical relaxation approximations to second-order macroscopic traffic flow models”, Transportation Research Part C: Emerging Technologies. Elsevier, 2014, 44, 318-349.
Greenshields BD, “A study in highway capacity”, Highway Research Board Proceedings, 1935, 448-477.
Khan Z, “Traffic modelling for intelligent transportation systems”, 2016.
Khan ZH, Gulliver TA, Azam K, Khattak KS, “Macroscopic Model on Driver Physiological and Psychological Behavior at changes in Traffic”, Journal of Engineering And Applied Sciences, 2019, 38 (2), 57-66.
Khan ZH, Gulliver TA, Gulliver TA, Khattak KS, Qazi A, “A Macroscopic Traffic Model Based on Reaction Velocity”, Iranian Journal of Science and Technology, Transactions of Civil Engineering, 2020, 44 (1), 139-150.
Khan ZH, Gulliver TA, “A macroscopic traffic model based on transition velocities”, Journal of Computational Science, 2020, 43, 101131.
LeVeque RJ, Finite volume methods for hyperbolic problems. Cambridge university press, 2002.
Lighthill MJ, Whitham GB, “On kinematic waves II. A theory of traffic flow on long crowded roads”, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955, 229 1178, 317-345.
Mahdizadeh H, “A modified flux-wave formula for the solution of one-dimensional Euler equations with gravitational source term”, Iranian Journal of Numerical Analysis and Optimization, 2018, 8 (2), 25-37.
Mahdizadeh H, Sharifi S, Omidvar P, “On the Approximation of Two-Dimensional Transient Pipe Flow Using a Modified Wave Propagation Algorithm”, Journal of Fluids Engineering, 2018, 140 (7).
Mahdizadeh H, Stansby PK, Rogers BD, “On the approximation of local efflux/influx bed discharge in the shallow water equations based on a wave propagation algorithm”, International Journal for Numerical Methods in Fluids, 2011, 66 (10), 1295-1314.
Mahdizadeh H, Stansby PK, Rogers BD, “Flood Wave Modeling Based on a Two-Dimensional Modified Wave Propagation Algorithm Coupled to a Full-Pipe Network Solver”, Journal of Hydraulic Engineering, 2012, 138 (3), 247-259.
Mohammadian S, Numerical Study on Traffic Flow Prediction Using Different Second-Order Continuum Traffic Flow Models. Ferdowsi University of Mashhad. (In Persian)
Mohammadian S, van Wageningen-Kessels F, “Improved Numerical Method for Aw-Rascle Type Continuum Traffic Flow Models”, Transportation Research Record: Journal of the Transportation Research Board, 2018, 2672 (20), 262276.
Moodi S, Numerical Modellig of Flood Flow in Sewer Networks considering the Effects of the Manhole. Sistan and Baluchestan. (In Persian), 2017.
Moodi S, Mahdizadeh H, “Numerical Modelling of Water Influx Falling into an Empty Tank using a Modified Wave Propagation Algorithm”, Modares Mechanical Engineering, 2018, 18 (6), 182-190. (In Persian)
Ngoduy D, “Instability of cooperative adaptive cruise control traffic flow: A macroscopic approach”, Communications in Nonlinear Science and Numerical Simulation, 2013, 18 (10), 2838-2851.
Ngoduy D, Hoogendoorn SP, Van Zuylen HJ, “Comparison of Numerical Schemes for Macroscopic Traffic Flow Models”, Transportation Research Record: Journal of the Transportation Research Board, 2004, 1876 (1), 52-61.
Payne H, “Models of freeway traffic and control, Simulation Councils”, INC.: San Diego, CA, USA, 1971, 51-61.
Richards PI, “Shock Waves on the Highway”, Operations Research, 1956, 4 (1), 42-51.
Roe P, “Approximate Riemann solvers, parameter vectors, and difference schemes”, Journal of Computational Physics, 1981, 43 (2), 357-372.
Sreekumar M, Joshi SM, Chatterjee A, “Analyses and implications of higher order finite volume methods on first-order macroscopic traffic flow models”, Transportation Letters, 2019, 11 (10), 542-557.
Whitham GB, Linear and nonlinear waves, John Wiley and Sons.
Zhang HM, “A theory of nonequilibrium traffic flow”, Transportation Research Part B: Methodological, 1998, 32 (7), 485-498.