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Applications of Sumudu Transform of two variable functions with Hermite Polynomial to Partial Differential Equations

The present article gives the review on development of Sumudu transform and its applications. Theorems on Sumudu transform of two variables are proved in this paper. The theorem on Double Sumudu transform for any n using Hermite polynomial is proved. Using these theorems one can find Sumudu transform of homogeneous and non homogeneous functions of order n. Partial differential equations like, one dimensional heat equation, Poisson equation, second order hyperbolic equations are solved using these theorems.