The Nonconforming Finite Element Analysis For A Class Of Nonlinear Neural Conduction Equations

In this paper, the P₁-nonconforming rectangular finite element approximation for a class of nonlinear neural conduction equations is discussed. Firstly, under the regular meshes, the error estimates and the superclose property are presented with semidiscretiza-tion. Secondly, under the anisotropic meshes, the lumped mass nonconforming finite element scheme for this equations is presented, the L²- norm and the optimal energy norm error estimates are derived .