Approximate solution of ordinary linear differential equations with analytical complex functions coefficient by means of Taylor matrix method

Celik A., Duzgun A.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.82, sa.6, ss.765-775, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 82 Sayı: 6
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1080/0020716042000301833
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.765-775
  • Anahtar Kelimeler: ordinary linear differential equation, analytical complex function, Taylor matrix method, approximative solution
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

Let f, p, q, r be analytical functions in D with complex variables and complex values, where D subset of C is a simple connected domain of the complex plane in this study. We give approximative solutions of nonhomogenous ordinary differential equation p(z) y((2))(z) + q(z) y((1))(z) + r(z) y(z) = f (z) via Taylor matrix method. Then we illustrate these solutions by some given applications.