Series solution to the Pochhammer-Chree equation and comparison with exact solutions

Shawagfeh N., KAYA D.

Computers and Mathematics with Applications, cilt.47, sa.12, ss.1915-1920, 2004 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 12
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.camwa.2003.02.012
  • Dergi Adı: Computers and Mathematics with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1915-1920
  • Anahtar Kelimeler: Decomposition method, Pochhammer-Chree equation, Solitary wave solution, Traveling wave solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this study, a decomposition method for approximating the solution of the Pochhammer-Chree equation is implemented. By using this scheme, explicit exact solution is calculated in the form of a convergent power series with easily computable components. To illustrate the application of this method numerical results are derived by using the calculated components of the decomposition series. The obtained results are found to be in good agreement with the exact solutions known for some special cases. © 2004 Elsevier Ltd. All rights reserved.