Numerical Investigation of the Solution of Fisher's Equation via the B-Spline Galerkin Method

Dag İ., Sahin A., Korkmaz A.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.26, sa.6, ss.1483-1503, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 6
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1002/num.20507
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1483-1503
  • Anahtar Kelimeler: B-spline, Fisher's equation, Galerkin method, DIFFUSION EQUATION, BURGERS-EQUATION, FINITE-ELEMENTS, SCHEMES, SYSTEMS
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The Galerkin method is used with quadratic B-spline base functions to obtain the numerical solutions of Fisher's equation which is a one dimensional reaction-diffusion equation. To observe the effects of reaction and diffusion, four test problems related to pulse disturbance, step disturbance, super-speed wave and strong reaction are studied. A comparison is performed between the obtained numerical results and some earlier studies. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1483-1503, 2010