Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear generalized Burgers-Huxley equation

Dehghan M., Saray B. N., Lakestanı M.

Mathematical and Computer Modelling, cilt.55, sa.3-4, ss.1129-1142, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 3-4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.mcm.2011.09.037
  • Dergi Adı: Mathematical and Computer Modelling
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1129-1142
  • Anahtar Kelimeler: Collocation approach, Finite difference schemes, Generalized Burgers-Huxley equation, Interpolating scaling functions, Operational matrix of derivative, Operational matrix of integration
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Two numerical techniques based on the interpolating scaling functions are presented for the solution of the generalized Burgers-Huxley equation. Some properties of the interpolating scaling functions are presented and are utilized to reduce the solution of the generalized Burgers-Huxley equation to the solution of a system of algebraic equations. Also another method which is based on the mixed collocation finite difference schemes is developed to solve this important nonlinear partial differential equation. Illustrative examples are included to demonstrate the validity and applicability of the presented techniques. © 2011 Elsevier Ltd.