Abstract: By employing EQ^rotelement and zero-order Raviart-Thomas element, H1-Galerkin nonconforming mixed finite element scheme was discussed for a class of generalized nerve conduction type equations under semi-discrete. The existence and uniqueness of the solution about the approximation scheme were proved. Based on the special characters of EQ^rotelement, the known high accuracy analysis of zero-order R-T element and the post processing technique, the superclose and  superconvergence properties for u in H¹-norm and p→ in H(div;Ω)-norm were obtained for the above scheme