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

Yıl 2023, Cilt: 18 Sayı: 3, 259 - 267, 23.11.2023

Murat Düz , Sunnet Avezov , Ahmad Issa

https://doi.org/10.29233/sdufeffd.1318890

Öz

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.

Anahtar Kelimeler

Linear differential equation, Variable coefficients, Fourier transform, Dirac delta function

Kaynakça

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