A numerical simulation and explicit solutions of the generalized Burgers-Fisher equation

KAYA D., El-Sayed S. M.

Applied Mathematics and Computation, cilt.152, sa.2, ss.403-413, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 152 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00565-4
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.403-413
  • Anahtar Kelimeler: Generalized Burgers-Fisher equation, Numerical results, Solitary-wave solution, The decomposition method
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We consider solitary-wave solutions of the generalized Burgers-Fisher (BF) equation ut+purux-uxx-qu(1-u r) = 0. In this paper by considering the decomposition scheme, we first obtain the exact solutions of the generalized BF equation for the initial condition without using any classical transformations and then its numerical solutions are constructed without using any discretization technique. The numerical solutions are compared with the known analytical solutions. Its remarkable accuracy is finally demonstrated in the study of some values r≥2 of the generalized BF equation. © 2003 Elsevier Inc. All rights reserved.