Mapping of mathematical equations on parallel architectures always been an interesting area among researchers. Many researchers implements parallel algorithm for mathematical equations such as Lagranges interpolation, Polynomial interpolation Hermit interpolation etc on different interconnection networks. In this paper we present a Mesh based parallel algorithm for finite exponential series, however the number of terms in exponential series should be equal to n2 +1. This parallel algorithm requires 10(n-1) + O(1) steps for computing finite exponential series of n2 + 1 terms.