On the high order numerical calculation schemes for the Wigner transport equation

Abstract

A few high order numerical calculation schemes for the Wigner transport equation were studied and compared with conventional first-order (FDS) and second-order differencing schemes (SDS). Though the SDS model is generally accepted, there has been no trial to check the accuracy of this model by comparing it with those of higher order differencing schemes. In this report, it is shown that although the SDS model has a non-negligible numerical error, it can be regarded and accepted as a relatively accurate and efficient numerical model compared with the FDS model.