TY - M-10512
AU - M Rao, Prof Dr. Amitha
AU - Shinde-Deore, Mrs. Veena
TI - Numerical Approximation of Nonlinear Dispersive-Diffusive Traffic Flow Model with Source Term
T2 - Scientific Research Journal of Science, Engineering and Technology

PY - 2026
VL - 4
IS - 1
SN - 2584-0584

AB - The study of traffic flow forecasting provides critical information for the planning and operational management of modern transportation systems. This paper uses a nonlinear Partial Differential Equation (PDE) with source term describing traffic phenomena to present a traffic modelling framework for traffic density evolution. The PDE is based on the nonhomogeneous KdV–Burgers equation including convection, diffusion, dispersion and source term. The governing PDE is solved by employing Finite Difference Method (FDM) under two initial conditions: with and without source term. Stability error analysis is carried out to ensure the convergence of the method. The numerical results computed by using MATLAB together with solution graphs of traffic density waves show the influence of source term on the solution of PDE. 

KW - Traffic Flow
KW -  Differential Equations
KW -  Finite Difference Method
KW -  Mathematical Modeling
KW -  Density
KW -  Velocity
DO -