In the edge region of a tokamak, especially during H-mode operation, thevalues of the radial electric field Er and of its radial derivative dEr/dr are larger than those allowed by the standard neoclassicaltheory. In this paper we focus our attention to the region where dEr/dr is negative and very large. This gives rise to orbit squeezingand requires a new approach to solve the drift kinetic equation (DKE). In thispaper we re-examine the method of the linearized DKE developed by Shaing andHazeltine and the `global' method due toHinton and Kim, and we ameliorate the latter by consistentlytaking the temperature gradient into account.