Applications of New Double Integral Transform (Laplace-Sumudu Transform) in Mathematical Physics

Abstract

The primary purpose of this research is to demonstrate an efficient replacement of double transform called the double Laplace-Sumudu transform (DLST) and prove some related theorems of the new double transform. Also, we will discuss the fundamental properties of the double Laplace-Sumudu transform of some basic functions. Then, by utilizing those outcomes, we will apply it to the partial differential equations to show its simplicity, efficiency, and high accuracy.