Al-Qadisiyah Journal for Engineering Sciences

Two parametric SEE transformation and its applications in solving differential equations

Document Type : Research Paper

Authors

Ali Moazzam 1
Emad A. Kuffi 2
Zain Ul Abideen 3
Ayza Anjum 3

1 Department of Mathematics and Statistics, University of Agriculture, Jail Road Faisalabad, Pakistan

2 Department of Material Engineering, College of Engineering, Al-Qadisiyah University, Iraq

3 Department of Physics, University of Agriculture, Jail Road Faisalabad, Pakistan

10.30772/qjes.v16i2.891
Abstract
Transformation plays a much more important role in every science. In this research article, two parametric forms of SEE transformation have been explored and the fundamental properties of two parametric SEE transformations have been shown. Furthermore, the transformed function of some fundamental functions and their time derivative rule has been shown. The application of two parametric SEE transformations in solving differential equations has been shown. The radioactive decay problem in first-order linear differential equations has been solved in this article which has large applications in nuclear energy engineering. Further, the solution to the beam deflection problem has been shown to have many applications in the engineering field. These results can be compared with other Laplace-type transformations.

Keywords

Two Parametric
Differential Equations
Time Derivative
Beam Deflection
Radioactive Decay
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 S. Aggarwal, A.R. Gupta, D. Singh, N. Asthana, N. Kumar, Application of Laplace   transform for solving population growth and decay problems. 

Al-Qadisiyah Journal for Engineering Sciences
Volume 16, Issue 2
Spring 2023
Pages 116-120

  • Receive Date 10 January 2023
  • Revise Date 19 February 2023
  • Accept Date 22 May 2023

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