An approach to time fractional gas dynamics equation: Quadratic B-spline Galerkin method

ESEN A., TAŞBOZAN O.

Applied Mathematics and Computation, cilt.261, ss.330-336, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 261
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2015.03.126
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.330-336
  • Anahtar Kelimeler: Finite element method, Galerkin, Quadratic B-spline, Time fractional gas dynamics equation
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

In the present article, a quadratic B-spline finite element Galerkin method has been used to obtain numerical solutions of the nonlinear time fractional gas dynamics equation. While the Caputo form is used for the time fractional derivative appearing in the equation, the L1 discretization formula is applied to the equation in time. A numerical example is given and the obtained results show the accuracy and efficiency of the method. Therefore, the present method can be used as an efficient alternative one to find out the numerical solutions of other both linear and nonlinear fractional differential equations available in the literature.