Solutions to Differential-Differential Difference Equations with Variable Coefficients by Using Fourier Transform Method

Autor: Sunnet Avezov, Murat Düz, Ahmad Issa
Jazyk: English<br />Turkish
Rok vydání: 2023
Předmět:
Zdroj: Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, Vol 18, Iss 3, Pp 259-267 (2023)
Druh dokumentu: article
ISSN: 1306-7575
DOI: 10.29233/sdufeffd.1318890
Popis: In this paper, differential-differential difference equations with variable coefficients have been solved using the Fourier Transform Method (FTM). In addition, new definitions and theorems are introduced. Besides, the efficiency of the proposed method is verified by solving five important examples. Furthermore, we have noted that the Fourier transform method is a powerful technique for solving ordinary differential difference equations (ODDEs) with variable coefficients. It involves transforming the ODDEs into the frequency domain using the Fourier transform, solving the transformed equation, and then applying the inverse Fourier transform to obtain the solution in the time domain.
Databáze: Directory of Open Access Journals