Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms

ERSOY HEPSON Ö., Dag İ.

OPEN PHYSICS, cilt.13, sa.1, ss.414-427, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/phys-2015-0047
  • Dergi Adı: OPEN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.414-427
  • Anahtar Kelimeler: finite element method, collocation method, reaction-diffusion equations, exponential cubic B-spline, nonlinear differential equation
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The solutions of the reaction-diffusion system are given by method of collocation based on the exponential B-splines. Thus the reaction-diffusion system turns into an iterative banded algebraic matrix equation. Solution of the matrix equation is carried out byway of Thomas algorithm. The present methods test on both linear and nonlinear problems. The results are documented to compare with some earlier studies by use of L-infinity and relative error norm for problems respectively.