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

IRK D., DAĞ İ., TOMBUL M.

KSCE Journal of Civil Engineering, vol.19, no.4, pp.929-934, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 4
  • Publication Date: 2015
  • Doi Number: 10.1007/s12205-013-0737-7
  • Journal Name: KSCE Journal of Civil Engineering
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.929-934
  • Keywords: B-spline, collocation method, pollutant transport, INTERPOLATION, SCHEME
  • Anadolu University Affiliated: Yes

Abstract

© 2015, Korean Society of Civil Engineers and Springer-Verlag Berlin Heidelberg.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.