Oscillation of numerical solution for time-dependent particle transport equations

In this paper, the oscillating problem of numerical solution for time-dependent particle transport equations is investigated. The influence of numerical scheme on this oscillating phenomenon is analysed for a kind of particular particle transport equations with a small perturbation and spherical geometric time-dependent particle transport equation. The numerical experiments show that linear discontinuous finite element method can yield more accurate results and improve the oscillating numerical solution for the derivative of flux with respect to time.