Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform)

The primary purpose of this research is to demonstrate an efficient new double transform mentioned since the double Laplace - Sumudu transform (DLST) solve partial differential equations. The theorems handling fashionable properties of the double Laplace - Sumudu transform are proved, the convolution theorem with evidence is mentioned, then, via the usage of these outcomes the solution of partial differential equations is made. The results showed that the double Laplace - Sumudu transform was more efficient and useful to handle such these kinds of equations. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams University.

Automated summary

The primary purpose of this research is to demonstrate the efficiency of a new double transform method, the double Laplace - Sumudu transform (DLST), in solving partial differential equations. The theorems handling fashionable properties of the DLST are proved, along with mentioning the convolution theorem, and using these results to solve partial differential equations efficiently.