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.
Keywords
Double Laplace– Sumudu transform; Single Laplace transform; Single Sumudu transform; Partial differential equations.