Numerical solution of time fractional Burgers equation

Esen A., Tasbozan O.

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, cilt.7, sa.2, ss.167-185, 2015 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/ausm-2015-0011
  • Dergi Adı: ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.167-185
  • Anahtar Kelimeler: finite element method, Galerkin method, time fractional Burgers equation, quadratic B-spline, DIFFERENTIAL-EQUATIONS, DIFFUSION
  • İnönü Üniversitesi Adresli: Evet

Özet

In this article, the time fractional order Burgers equation has been solved by quadratic B-spline Galerkin method. This method has been applied to three model problems. The obtained numerical solutions and error norms L-2 and L-infinity have been presented in tables. Absolute error graphics as well as those of exact and numerical solutions have been given.