Open AccessThe SEA integral transform and its application on differential equations
Author(s) -
Ali Hameed Ali,
Emad A. Kuffi
Publication year - 2022
Publication title -
international journal of health sciences (ijhs) (en línea)
Language(s) - English
Resource type - Journals
eISSN - 2550-6978
pISSN - 2550-696X
DOI - 10.53730/ijhs.v6ns3.5393
Subject(s) - integral transform , kernel (algebra) , integral equation , s transform , mathematics , integral domain , fractional fourier transform , two sided laplace transform , mathematical analysis , domain (mathematical analysis) , hartley transform , mellin transform , differential (mechanical device) , computer science , fourier transform , physics , discrete mathematics , pure mathematics , artificial intelligence , fourier analysis , wavelet transform , wavelet packet decomposition , field (mathematics) , wavelet , thermodynamics
The subject of integral transformations' suggestions, properties studying and testing their efficiency via their application into real-life scientific applications, is a never-perishing subject. This work proposed a new integral transform called the Sherifa-Emad-Ali) SEA integral transform that manipulates the kernel function of the ZZ transform via the insertion of the complex parameter into the kernel to produce a new integral transform with a different domain than the ZZ transform. The properties and the application of the proposed SEA integral transform are studied and proved. The applicability of the transform to solve some problems represented by differential equations, including Newton’s law of cooling problem and the deflecting of a hinged beam under a uniform load, is also discussed.