Extended cubic B-spline solution of the advection-diffusion equation

IRK D., Dag İ., TOMBUL M.

KSCE JOURNAL OF CIVIL ENGINEERING, cilt.19, sa.4, ss.929-934, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s12205-013-0737-7
  • Dergi Adı: KSCE JOURNAL OF CIVIL ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.929-934
  • Anahtar Kelimeler: B-spline, collocation method, pollutant transport, INTERPOLATION, SCHEME
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The collocation method based on the extended B-spline functions as trial functions is set up to find numerical solutions of the advection-diffusion equation numerically. The transport of the pollution is simulated by way of using solutions of the advection-diffusion equation. Comparative results of use of both B-spline and extended B-spline in the collocation method are illustrated. It is concluded that a suitable selection of the free parameter of extended B-spline is shown to provide less error for the numerical solutions of the advection-diffusion equation with some boundary and initial conditions.