Variational iteration method for Sturm-Liouville differential equations

ALTINTAN D., UĞUR Ö.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.58, sa.2, ss.322-328, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.camwa.2009.02.029
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.322-328
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this article, He's variational iteration method is applied to linear Sturm-Liouville eigenvalue and boundary value problems, including the harmonic oscillator. In this method, solutions of the problems are approximated by a set of functions that may include possible constants to be determined from the boundary conditions. By computing variations, the Lagrange multipliers are derived and the generalised expressions of variational iterations are constructed. Numerical results show that the method is simple, however powerful and effective. (c) 2009 Elsevier Ltd. All rights reserved.