Arbitrary order numerical method for solving differential-algebraic equation by Pade series

Celik E., Bayram M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.137, sa.1, ss.57-65, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 137 Sayı: 1
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(02)00080-2
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.57-65
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, the solution for a differential-algebraic equation can be expanded up to arbitrary order using MAPLE computer algebra systems [MAPLE V, CRC Press, Boca Raton, FL 33431, 1996]. First we calculate power series of the given equations system then transform it into Pade series form, which give an arbitrary order for solving differential-algebraic equation numerically. (C) 2002 Elsevier Science Inc. All rights reserved.