Solving the partial differential equations by using SEJI integral transform

Mehdi, Sadiq A.; Kuffi, Emad A.; Jasim, Jinan A.

doi:10.47974/JIM-1611

Open Access Research Article

Solving the partial differential equations by using SEJI integral transform

^*Sadiq A. MehdiCorresponding authorSadiqmehdi71@uomustansiriyah.edu.iqDepartment of MathematicsMustansiriyah UniversityBaghdad, Iraqhttps://orcid.org/0000-0001-5244-7697View full profile → , Emad A. Kuffiemad.abbas@qu.edu.iqDepartment of Materials EngineeringAl-Qadisiyah UniversityAl-Qadisiyah, Iraq0000-0002-5905-5319View full profile → , Jinan A. Jasimjinanadel78@uomustansiriyah.edu.iqDepartment of MathematicsMustansiriyah UniversityBaghdad, Iraq0000-0002-5128-1522View full profile →

* Corresponding author · click or hover a name for details

pp. 1123–1132Vol. 26Issue 6September 2023DOI: 10.47974/JIM-1611XML

Published Online:: 08 Sep 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1611
Pages:: 1123–1132

Abstract

The integral transformations have become very important in solving differential equations, especially those that have an applied aspect in the physical, chemical, economic and other scientific fields. In this article, the suggested transform which named by SEJI integral transform is developed for solving the partial derivatives and applied to solve several partial differential equations. This paper introduced the definition of the suggested transform with its properties that have the importance in this field. This new transform has an ability to applying in {PDEs) and finding the exact solution for these equations. Kinds of partial differential equations have solved by using this transform.

Keywords

SEJI integral transform Partial derivative Heat equation Wave equation Laplace equation Telegraph equation Klein-Gordan equation

Subject Classifications

Primary 93A30Secondary 49K15

Acknowledgements

FRH-P912H68

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