Reproducing kernel Hilbert space method for nonlinear boundary-value problems
[ X ]
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Reproducing kernel Hilbert spacemethod is given for nonlinear boundary-value problems in this paper. Applying this technique, we establish a new algorithm to approximate the solution of such nonlinear boundary-value problems. This technique does not need any background mesh and can easily be applied. In this technique, the solution is given in the form of a series. Representation of the solutions is obtained in the reproducing kernel Hilbert space. Additionally, the convergence of the presented method is demonstrated. Numerical examples are presented to show the ability of the method. We compare the reproducing kernel Hilbert space method with B-spline collocation method. As seen in the tables, the reproducing kernel Hilbert space method gives better results.
Açıklama
Anahtar Kelimeler
nonlinear boundary-value problems, reproducing kernel Hilbert space method, series solutions
Kaynak
Mathematical Methods in The Applied Sciences
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
41
Sayı
18
