New perturbation-iteration solutions for Bratu-type equations

AKSOY Y., Pakdemirli M.

Computers and Mathematics with Applications, cilt.59, sa.8, ss.2802-2808, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 8
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.camwa.2010.01.050
  • Dergi Adı: Computers and Mathematics with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2802-2808
  • Anahtar Kelimeler: Perturbation methods, Perturbation-iteration algorithms, Bratu's equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Perturbation-iteration theory is systematically generated for both linear and nonlinear second-order differential equations and applied to Bratu-type equations. Different perturbation-iteration algorithms depending upon the number of Taylor expansion terms are proposed. Using the iteration formulas derived using different perturbation-iteration algorithms, new solutions of Bratu-type equations are obtained. Solutions constructed using different perturbation-iteration algorithms are contrasted with each other as well as with numerical solutions. It is found that algorithms with more Taylor series expansion terms yield more accurate results. © 2010 Elsevier Ltd. All rights reserved.