Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation

Lakestanı M., Dehghan M.

Mathematical Methods in the Applied Sciences, cilt.36, sa.16, ss.2243-2253, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 16
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1002/mma.2755
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2243-2253
  • Anahtar Kelimeler: astrophysics, B-spline function, Lane-Emden equation, operational matrix of derivative, operational matrix of integration
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Four numerical techniques based on the linear B-spline functions are presented for the numerical solution of the Lane-Emden equation. Some properties of the B-spline functions are presented and are utilized to reduce the solution of the Lane-Emden equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the new techniques. Copyright © 2013 John Wiley & Sons, Ltd.