The Legendre Wavelets Method for Approximate Solution of Fractional Differential-Algebraic Equations

KARABACAK M., YİĞİDER M.

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, cilt.57, sa.4, ss.161-173, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 57 Sayı: 4
  • Basım Tarihi: 2018
  • Dergi Adı: INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), zbMATH
  • Sayfa Sayıları: ss.161-173
  • Anahtar Kelimeler: differential algebraic equations, fractional differential-algebraic equations, Legendre wavelets, operational matrix
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, the Legendre wavelets are implemented to give approximate solutions for fractional differential-algebraic equations (FDAEs). We find the wavelet operational matrix of the fractional integration and by using it we transform the fractional differential-algebraic equations to a solvable system of algebraic equations. Two illustrative examples are solved to demonstrate the applicability and validity of the wavelet base technique. The numerical results show that the approximations are in good agreement with the exact solutions and the technique is accurate and easy to implement.