A UNIFIED FINITE DIFFERENCE CHEBYSHEV WAVELET METHOD FOR NUMERICALLY SOLVING TIME FRACTIONAL BURGERS' EQUATION

Oruc O., ESEN A., BULUT F.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, cilt.12, sa.3, ss.533-542, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3934/dcdss.2019035
  • Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.533-542
  • Anahtar Kelimeler: Chebyshev wavelet method, Burgers' equation, numerical solution, INTEGRODIFFERENTIAL EQUATIONS, OPERATIONAL MATRIX, INTEGRATION, SYSTEM
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we developed a unified method to solve time fractional Burgers' equation using the Chebyshev wavelet and L1 discretization formula. First we give the preliminary information about Chebyshev wavelet method, then we describe time discretization of the problems under consideration and then we apply Chebyshev wavelets for space discretization. The performance of the method is shown by three test problems and obtained results compared with other results available in literature.