B-spline collocation methods for numerical solutions of the Burgers' equation


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Dag İ. , Irk D. , Sahin A.

MATHEMATICAL PROBLEMS IN ENGINEERING, sa.5, ss.521-538, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: Konu: 5
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1155/mpe.2005.521
  • Dergi Adı: MATHEMATICAL PROBLEMS IN ENGINEERING
  • Sayfa Sayıları: ss.521-538

Özet

Both time- and space-splitted Burgers' equations are solved numerically. Cubic B-spline collocation method is applied to the time-splitted Burgers' equation. Quadratic B-spline collocation method is used to get numerical solution of the space-splitted Burgers' equation. The results of both schemes are compared for some test problems.