Solving difference equations using fourier transform method

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:42 Issue:4
Solving difference equations using fourier transform method

Solving difference equations using fourier transform method

Authors : Sunnet Avezov, Ahmad Issa, Murat Düz

Pages : 1239-1244

View : 46 | Download : 33

Publication Date : 2024-08-01

Article Type : Research Paper

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 : Coefficients Matrix, Fourier Transform Method, Non Homogeneous Linear Difference Equations

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