Numerical solution of nonlinear system of second-order boundary value problems using cubic B-spline scaling functions


Dehghan M., Lakestanı M.

International Journal of Computer Mathematics, cilt.85, sa.9, ss.1455-1461, 2008 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 85 Sayı: 9
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1080/00207160701534763
  • Dergi Adı: International Journal of Computer Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1455-1461
  • Anahtar Kelimeler: Cubic spline, Nonlinear system, Numerical solution, Second-order boundary value problem
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

A numerical technique is presented for the solution of nonlinear system of second-order boundary value problems. This method uses the cubic B-spline scaling functions. The method consists of expanding the required approximate solution as the elements of cubic B-spline scaling function. Using the operational matrix of derivative, we reduce the problem to a set of algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces very accurate results.