A time-space quadratic-extended cubic B-spline integrators for the Burgers’ equation

DAĞ İ., Uğurluoğlu S.

Physica Scripta, cilt.101, sa.15, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 101 Sayı: 15
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1088/1402-4896/ae5692
  • Dergi Adı: Physica Scripta
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: bspline, Burgers’ equation, collocation
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

A new numerical method is presented for the solution of the Burgers’ equation(BE). Quadratic B-splines are used for the time integration of the Burgers’ equation, while the spatial integration is handled using extended cubic B-spline collocation method. Thus, a combination of both quadratic and cubic B-spline collocation methods is utilized to obtain a system of algebraic equations, which is then solved to find the solutions of the BE. The applicability and simplicity of the proposed algorithm are demonstrated through three test problems