Solving difference equations using fourier transform method

Sunnet Avezov; Ahmad Issa; Murat Düz

Solving difference equations using fourier transform method

Abstract

This article mainly focuses on presenting a new accurate technique (Fourier Transform Meth-od) for solving linear of mth order Difference Equations with constant coefficients. Also, a new lower triangular matrix was introduced to overcome problems related to finding the Fourier Transform of polynomials by rewriting standard-based polynomials through the fallen power polynomial base. Besides, five examples have been presented to illustrate the validity and accuracy of this method. The results reveal that the Fourier transform method is very effective and attractive in solving the difference equations.

Keywords

References

REFERENCES
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Details

Primary Language

English

Subjects

Clinical Chemistry

Journal Section

Research Article

Authors

Sunnet Avezov
0009-0007-6798-4189
Türkiye

Ahmad Issa ^*
0000-0001-7495-3443
Türkiye

Murat Düz
0000-0003-2387-4045
Türkiye

Publication Date

August 1, 2024

Submission Date

January 28, 2023

Acceptance Date

July 7, 2023

Published in Issue

Year 2024 Volume: 42 Number: 4

IZ

https://izlik.org/JA75TJ69KA

Cite

RIS / Bibtex

APA

Avezov, S., Issa, A., & Düz, M. (2024). Solving difference equations using fourier transform method. Sigma Journal of Engineering and Natural Sciences, 42(4), 1239-1244. https://izlik.org/JA75TJ69KA

AMA

1.Avezov S, Issa A, Düz M. Solving difference equations using fourier transform method. SIGMA. 2024;42(4):1239-1244. https://izlik.org/JA75TJ69KA

Chicago

Avezov, Sunnet, Ahmad Issa, and Murat Düz. 2024. “Solving Difference Equations Using Fourier Transform Method”. Sigma Journal of Engineering and Natural Sciences 42 (4): 1239-44. https://izlik.org/JA75TJ69KA.

EndNote

Avezov S, Issa A, Düz M (August 1, 2024) Solving difference equations using fourier transform method. Sigma Journal of Engineering and Natural Sciences 42 4 1239–1244.

IEEE

[1]S. Avezov, A. Issa, and M. Düz, “Solving difference equations using fourier transform method”, SIGMA, vol. 42, no. 4, pp. 1239–1244, Aug. 2024, [Online]. Available: https://izlik.org/JA75TJ69KA

ISNAD

Avezov, Sunnet - Issa, Ahmad - Düz, Murat. “Solving Difference Equations Using Fourier Transform Method”. Sigma Journal of Engineering and Natural Sciences 42/4 (August 1, 2024): 1239-1244. https://izlik.org/JA75TJ69KA.

JAMA

1.Avezov S, Issa A, Düz M. Solving difference equations using fourier transform method. SIGMA. 2024;42:1239–1244.

MLA

Avezov, Sunnet, et al. “Solving Difference Equations Using Fourier Transform Method”. Sigma Journal of Engineering and Natural Sciences, vol. 42, no. 4, Aug. 2024, pp. 1239-44, https://izlik.org/JA75TJ69KA.

Vancouver

1.Sunnet Avezov, Ahmad Issa, Murat Düz. Solving difference equations using fourier transform method. SIGMA [Internet]. 2024 Aug. 1;42(4):1239-44. Available from: https://izlik.org/JA75TJ69KA