Collocation method for the numerical solutions of Lane-Emden type equations using cubic Hermite spline functions

Mohammadzadeh R., Lakestanı M., Dehghan M.

Mathematical Methods in the Applied Sciences, cilt.37, sa.9, ss.1303-1717, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 9
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1002/mma.2890
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1303-1717
  • Anahtar Kelimeler: collocation method, cubic Hermite functions, Lane-Emden equation, operational matrix of derivative, operational matrix of integration
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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