A numerical solution of the Klein-Gordon equation and convergence of the decomposition method

KAYA D., El-Sayed S. M.

Applied Mathematics and Computation, cilt.156, sa.2, ss.341-353, 2004 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 156 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.amc.2003.07.014
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.341-353
  • Anahtar Kelimeler: Convergence of the decomposition method, Decomposition method, Modified decomposition method, Nonlinear Klein-Gordon equations
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

The decomposition method for solving the Klein-Gordon equation has been implemented. The explicit and numerical solutions of the equation are calculated in the form of convergent power series with easily computable components. The present method performs extremely well in terms of accuracy, efficiency, simplicity, stability and reliability. We also proved the convergence of Adomian's decomposition method for the nonlinear Klein-Gordon equation. © 2003 Elsevier Inc. All rights reserved.