Solution Of The Composite Fractional Oscillation Equations Using Bernoulli Wavelet Method

Tural Polat S. N.

The IRES 1196th International Conference on Innovative Engineering Technologies, Petaling-Jaya, Malezya, 2 - 03 Aralık 2021, ss.19-23

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Petaling-Jaya
  • Basıldığı Ülke: Malezya
  • Sayfa Sayıları: ss.19-23
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper we derive the numerical solutions of the fractional-order differential equations which models the behavior of the composite oscillators using the Bernoulli Wavelet Operational Matrix of Fractional Order Integration (BWOMFI) method. The Operational Matrix of Fractional Order Integration method converts the fractional differential equations to a system of algebraic equations. The Bernoulli Wavelet method provides sparse coefficient matrices, therefore the resulting method is computationally more efficient and faster. The operational matrix of fractional order integration can be obtained using several approaches, here, the block pulse functions are used. Example results of composite fractional oscillation equations are presented. The numerical solutions conform to the exact solutions.