Numerical solution of the KdV equation by Haar wavelet method
Küçük Resim Yok
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Acad Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper aims to get numerical solutions of one-dimensional KdV equation by Haar wavelet method in which temporal variable is expanded by Taylor series and spatial variables are expanded with Haar wavelets. The performance of the proposed method is measured by four different problems. The obtained numerical results are compared with the exact solutions and numerical results produced by other methods in the literature. The comparison of the results indicate that the proposed method not only gives satisfactory results but also do not need large amount of CPU time. Error analysis of the proposed method is also investigated.
Açıklama
Anahtar Kelimeler
Haar wavelet method, Taylor-Haar, KdV equation, soliton, numerical solution
Kaynak
Pramana-Journal of Physics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
87
Sayı
6
