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

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