Numerical Solution of Time Fractional Burgers Equation by Cubic B-spline Finite Elements

ESEN A., Tasbozan O.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.13, sa.3, ss.1325-1337, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00009-015-0555-x
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1325-1337
  • Anahtar Kelimeler: Finite element method, collocation method, time fractional Burgers equation, cubic B-Spline, DIFFERENTIAL-EQUATIONS, COLLOCATION SOLUTION
  • İnönü Üniversitesi Adresli: Evet

Özet

We present some numerical examples which support numerical results for the time fractional Burgers equation with various boundary and initial conditions obtained by collocation method using cubic B-spline base functions. The aim of this paper is to show that the finite element method based on the cubic B-spline collocation method approach is also suitable for the treatment of the fractional differential equations. The results of numerical experiments are compared with analytical solution to confirm the accuracy and efficiency of the presented scheme.

We present some numerical examples which support numerical results for the time fractional Burgers equation with various boundary and initial conditions obtained by collocation method using cubic B-spline base functions. The aim of this paper is to show that the finite element method based on the cubic B-spline collocation method approach is also suitable for the treatment of the fractional differential equations. The results of numerical experiments are compared with analytical solution to confirm the accuracy and efficiency of the presented scheme.