Abstract
By means of Pomraning–Eddington approximation and maximum entropy method the Spencer–Lewis equation in an infinite medium has been solved explicitly. The behaviour of the approximate solution for the total electron density are shown graphically, and compared with that obtained by using the flux-limited approach. The results reported in this article provide further evidence of the usefulness of both Pomraning-Eddington and flux-limited. Knowing the electron density distribution allows us to calculate directly some physical quantity, such as the reflection function and energy deposition profile.