A new numerical algorithm for the Abel equation of the second kind

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Guler C.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.84, sa.1, ss.109-119, 2007 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 84 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1080/00207160601176889
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.109-119
  • Anahtar Kelimeler: Abel equation, Taylor matrix method, Pade approximation, non-linear differential equations, DIFFERENTIAL-ALGEBRAIC EQUATIONS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

An algorithm based on the Taylor matrix method is proposed and applied to the non-linear Abel equation of the second kind. A Pade approximation of the problem is also obtained. The results are compared and tabulated.