Higher Order Trigonometric B-spline Algorithms to the Solution of Coupled Burgers' Equation

Tok Onarcan A., Ersoy Hepson Ö.

6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), Budapest, Macaristan, 15 - 17 Ağustos 2017, cilt.1926 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1926
  • Doi Numarası: 10.1063/1.5020493
  • Basıldığı Şehir: Budapest
  • Basıldığı Ülke: Macaristan
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Trigonometric B-spline functions of higher degrees have advantages over lower ones since they can be used as approximate functions in the numerical methods if the differential equation include higher order derivatives. Thus the collocation method based on higher degree trigonometric B-splines is set up to get numerical solutions of the Coupled Burgers' equation. The unknowns of the coupled Burgers equation are integrated in time by the aid of the Crank-Nicolson method. Resulting time-integrated coupled Burgers' equation is discretized using the trigonometric B-spline collocation method. One initial and boundary value problem of the Coupled Burgers' equation is studied by the proposed technique.