Quartic and quintic B-spline methods for advection-diffusion equation

KORKMAZ A., Dag İ.

APPLIED MATHEMATICS AND COMPUTATION, cilt.274, ss.208-219, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 274
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.amc.2015.11.004
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.208-219
  • Anahtar Kelimeler: B-spline, Differential quadrature method, Advectiondiffusion equation, DIFFERENTIAL QUADRATURE METHOD, DISTRIBUTED SYSTEM EQUATIONS, NUMERICAL-SOLUTION, DISPERSION, CONVECTION, SIMULATION, POLLUTANTS, ALGORITHM, TRANSPORT, INSIGHTS
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Differential quadrature methods based on B-spline functions of degree four and five have been introduced to solve advectiondiffusion equation numerically. Two initial-boundary value problems modeling the transportation of a concentration and distribution of an initial pulse are simulated using both methods. The errors of the numerical results obtained by both methods have been computed. Stability analysis for both methods is also studied by the use of matrix stability. (C) 2015 Elsevier Inc. All rights reserved.