A numerical implementation of the decomposition method for the Lienard equation

KAYA D., El-Sayed S. M.

Applied Mathematics and Computation, cilt.171, sa.2, ss.1095-1103, 2005 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 171 Sayı: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2005.01.104
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1095-1103
  • Anahtar Kelimeler: Numerical solutions, The Adomian decomposition method, The Lienard equation
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this study, a kind of explicit exact and numerical solutions to the Lienard equation is obtained, and the applications of the results to this equation has been compared with their known theoretical solution. This paper is particularly concerned with the Adomian decomposition method and the numerical results demonstrate that the new method is relatively accurate and easily implemented. © 2005 Elsevier Inc. All rights reserved.