Taylor matrix solution of the mathematical model of the RLC circuits

BAHŞI M. M., Çevik M.

Mathematical and Computational Applications, cilt.18, sa.3, ss.467-475, 2013 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3390/mca18030467
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.467-475
  • Anahtar Kelimeler: Differential equation, Electrical circuits, Mathematical model, Taylor matrix method
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The RLC circuit is a basic building block of the more complicated electrical circuits and networks. The present study introduces a novel and simple numerical method for the solution this problem in terms of Taylor polynomials in the matrix form. Particular and general solutions of the related differential equation can be determined by this method. The method is illustrated by a numerical application and a quite good agreement is observed between the results of the present method and those of the exact method.