Fractional neutron transport equation reflects the anomalous processes in nuclear reactor. In this paper, we will construct fully discrete methods for type of fractional with Riesz derivative, where generalized WENO5 scheme is used spatial direction and Runge–Kutta schemes are adopted temporal direction. The linear stabilities different stages order ERK discussed detailed. Numerical examples sh...

The stochastic transport equation is considered where the randomness given by a symmetric integral with respect to measure. For measure, only σ-additivity in probability and continuity of paths assumed. Existence uniqueness weak solution are proved.

We investigate the effect of turning delays on the behaviour of groups of differential wheeled robots and show that the group-level behaviour can be described by a transport equation with a suitably incorporated delay. The results of our mathematical analysis are supported by numerical simulations and experiments with E-Puck robots. The experimental quantity we compare to our revised model is t...