Variational Iteration Method for Sturm-Liouville Differential Equations
Yükleniyor...
Dosyalar
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
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.
Açıklama
Anahtar Kelimeler
Variational iteration method, Sturm-Liouville equations, Eigenvalue problems, Boundary value problems, Computing variations, Lagrange multipliers
Kaynak
Computers & Mathematics With Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
58
Sayı
2
Künye
Uğur, Ö., Altıntan, D., (2009). Variational Iteration Method for Sturm-Liouville Differential Equations. Computers & Mathematics With Applications, 58(2), 322-328. Doi: 10.1016/j.camwa.2009.02.029
