A numerical comparison of a Kawahara equation

KAYA D., Al-Khaled K.

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.363, sa.5-6, ss.433-439, 2007 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 363 Sayı: 5-6
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.physleta.2006.11.055
  • Dergi Adı: Physics Letters, Section A: General, Atomic and Solid State Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.433-439
  • Anahtar Kelimeler: Adomian decomposition method, Kawahara equation, Sinc-Galerkin method, Traveling wave solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this Letter we present an Adomian's decomposition Method (shortly ADM) and the Sinc-Galerkin Method (shortly SGM) for numerical approximation traveling wave solutions of the Kawahara equation. We obtain the exact traveling wave solutions of the Kawahara equation for the initial conditions by using ADM. Then ADM yields the analytic approximate solution with fast convergence rate and high accuracy through previous works. The numerical solutions are compared with the known analytical solutions. © 2006 Elsevier B.V. All rights reserved.