Exponential Twice Continuously Differentiable B-Spline Algorithm for Burgers' Equation

ERSOY HEPSON Ö., Dag İ., ADAR N.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.70, sa.6, ss.906-921, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s11253-018-1541-9
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.906-921
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Exponential twice continuously differentiable B-spline functions (known from the literature as exponential) are used to set up the collocation method for finding solutions of Burgers' equation. The effect of exponential cubic B-splines in the collocation method is analyzed by studying the test problems.