A numerical solution of the sine-Gordon equation using the modified decomposition method

KAYA D.

Applied Mathematics and Computation, cilt.143, sa.2-3, ss.309-317, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 143 Sayı: 2-3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(02)00363-6
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.309-317
  • Anahtar Kelimeler: Nonlinear Klein-Gordon equations, The decomposition method, The modified decomposition method, The sine-Gordon equation
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

The decomposition method for solving the sine-Gordon equation has been implemented. By using a number of initial values, 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. © 2002 Elsevier Science Inc. All rights reserved.