Avezov, SunnetIssa, AhmadDuz, Murat2024-09-292024-09-2920241304-72051304-7191https://doi.org/10.14744/sigma.2024.0009898https://hdl.handle.net/20.500.14619/6668This article mainly focuses on presenting a new accurate technique (Fourier Transform Method) 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.eninfo:eu-repo/semantics/closedAccessCoefficients MatrixFourier Transform MethodNon Homogeneous Linear Difference EquationsArticle10.14744/sigma.2024.000989812444123942WOS:001288574200011N/A