We report on an application of the Schwinger multichannel method with plane waves as a trial basis set [Phys. Scr. 76, 521 (2007)] to intermediate and high energy positron collisions with a Ne atom. Differential cross sections (DCSs) are obtained from 50 to 500 eV. In this study we focus our method for investigation by means of the Buckingham model on positron-Ne scattering, with polarization effects only. Our DCSs are found to be in reasonable agreement with existing theoretical studies.