Applications of differential transform method to differential-algebraic equations

Ayaz F.

APPLIED MATHEMATICS AND COMPUTATION, cilt.152, sa.3, ss.649-657, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 152 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00581-2
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.649-657
  • Anahtar Kelimeler: differential-algebraic equation, numerical solutions, one-dimensional differential transform method, RUNGE-KUTTA METHODS, PADE SERIES
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper, numerical solution of linear differential-algebraic equations (DAEs) is considered by differential transform method. Two different problems have been solved by using the technique and solutions have been compared very well with those obtained by exact solutions. Differential transform method can easily be applied to DAEs and series solutions are obtained. After the transformation, here, we have formulated series coefficients very simply for the considered problems. (C) 2003 Elsevier Inc. All rights reserved.