on the solution of two-dimensional local fractional lwr model of fractal vehicular traffic flow

This study proposed a two-dimensional local fractional lighthill-whitham-richards (lwr) model of fractal vehicular traffic flow. the non-differentiable traffic parameters that arise in traffic flow are addressed by this model. the local fractional laplace variational iteration method (lflvim) is employed to analyse the proposed model and making it serves well for examining the dynamic shifts in non-differentiable traffic density function. the existence and uniqueness of the solution of 2d local fractional lwr model have also proven. several examples are also covered to further illustrate the effectiveness of applying lflvim to the proposed model. additionally, the numerical simulations for every instance have been demonstrated. this study indicates that the presented 2d fractal model well captures the phenomena of traffic flow, and the iterative approach that has been employed to analyse the model is successful and can be applied to obtain the non-differentiable solution to 2d local fractional lwr model.