A Study of Triple Sumudu Transform for Solving Partial Differential Equations with Some Applications

Abstract

In this paper, we have studied the extension of the single Sumudu transform to deal with the functions in three variables. Furthermore, we have studied the main properties of triple Sumudu transform. In addition, we have applied triple Laplace transform with its main characteristics for solving several examples. Finally, we have examined the solutions for general second-order PDEs which containing three variables by using triple Laplace and Sumudu transforms.