  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 regards to relevant error analysis.
Through 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.
