THE COMPLEX SEE TRANSFORM TECHNIQUE IN DIFFERENCE EQUATIONS AND DIFFERENTIAL DIFFERENCE EQUATIONS

Document Type : Research Paper

Authors

1 Department of Electrical Technologies, Southern Technical University, Technical Institute Nasiriyah, Iraq. Iraq.

2 Department of Mathematics, College of Basic Education Mustansiriyah University, Baghdad, Iraq.

Abstract

Differential equations is used to represent different scientific problems are handled efficiently by integral transformations, where inte-
gral transforms represent an easy and effective tool for solving many prob-
lems in the mentioned fields. This work utilizes the integral transform
of the Complex SEE integral transformation to provide an efficient solu-
tion method to difference and differential-difference equations by benefiting
from the properties of this complex transform to solve some problems re-
lated to difference and differential-difference equations. The 3D, contour,
and 2D surfaces, as well as the related density plot surfaces of some ac-
quired data, are used to draw the physical aspect of the obtained findings.
The proposed approach offers an efficient and rapid solution for address-
ing the inherent complexity of differential-difference problems with initial conditions.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 22 April 2024

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History

  • Receive Date: 13 January 2024
  • Revise Date: 28 January 2024
  • Accept Date: 04 February 2024

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