Computation of Eigenvalues of Sturm-Liouville Problems using Homotopy Perturbation Method
Küçük Resim Yok
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
FREUND PUBLISHING HOUSE LTD
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a recently proposed analytical approximation technique, namely Homotopy Perturbation Method (HPM) is presented to compute eigenvalues of second and fourth order Sturm-Liouville problems. These types of equations appear in engineering applications such as vibration, elastic stability problems, which are great importance in engineering practice and real world applications. The presented technique is formulated and then applied to number of Sturm-Liouville problem cases for which solutions were obtained numerically. An easy to use feature of the method is promising for applying to such boundary value problems.
Açıklama
Anahtar Kelimeler
Sturm-Liouville, Boundary value problems, Homotopy Perturbation Method, Variational Iteration Method
Kaynak
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
11
Sayı
2
