Issa, A., Düz, M. (2023). New iterative technique for computing Fourier transforms.. , 17(2), 355-359. doi: 10.37652/juaps.2023.181586
Ahmad Jalal Issa; Murat Düz. "New iterative technique for computing Fourier transforms.". , 17, 2, 2023, 355-359. doi: 10.37652/juaps.2023.181586
Issa, A., Düz, M. (2023). 'New iterative technique for computing Fourier transforms.', , 17(2), pp. 355-359. doi: 10.37652/juaps.2023.181586
Issa, A., Düz, M. New iterative technique for computing Fourier transforms.. , 2023; 17(2): 355-359. doi: 10.37652/juaps.2023.181586

New iterative technique for computing Fourier transforms.

Journal of University of Anbar for Pure Science
Article 43, Volume 17, Issue 2, December 2023, Pages 355-359    PDF (586.86 K)
Document Type: Research Paper
DOI: 10.37652/juaps.2023.181586
Authors
Ahmad Jalal Issa* ; Murat Düz
Department of Mathematics, Faculty of Science, Karabuk University, Karabuk, Turkey ;
Abstract
The Fourier transformations have stimulated many amounts of articles in recent years. they arise in the fields of engineering, control systems, and technology like analyzing signals in electronic circuits, radio circuits, cell phones, image processing, and in solutions to heat transfer equations, Airy equations, Telegraph equations, Duffing equations, Wave equations, Fisher equations, Laplace equation, etc. In this paper, a new iterative method called Adomian Decomposition Method (ADM) is implemented to obtain the Fourier transform of functions by solving a linear ordinary differential equation of first order. This method focuses on finding Fourier transforms by knowing the series resulting from Adomian polynomials. Five famous examples are presented to test the effectiveness and validity of this technique. The results indicate that the accuracy of this method is fully in agreement with the classical method. Furthermore, when applying the Adomian decomposition method, we noticed that it provides accurate results and does not require a lot of time and effort to obtain Fourier transforms of the functions because it does not require a large number of iterations.
Keywords
Ordinary differential equations; Adomian decomposition method; Fourier transform
Supplementary Files
References
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