Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics | Zendy

Shams A. Ahmed | Zendy

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

Author(s) -

Shams A. Ahmed

Publication year - 2021

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2021/6625247

Subject(s) - laplace transform , mathematics , laplace transform applied to differential equations , two sided laplace transform , integral transform , laplace–stieltjes transform , inverse laplace transform , mellin transform , mathematical analysis , calculus (dental) , fourier transform , fractional fourier transform , fourier analysis , medicine , dentistry

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.

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