The famous Perona-Malik (P-M) equation which was
at first introduced for image restoration has been solved via various
numerical methods. In this paper we will solve it for the first time via
applying a new numerical method called Homotopy Perturbation
Method (HMP) and the correspondent approximated solutions will be
obtained for the P-M equation with regard to relevant error analysis.
Through the implementation of our algorithm we will access some
effective results which are deserved to be considered as worthy as the
other solutions issued by the other methods.