A Haar wavelet collocation method for coupled nonlinear Schrodinger-KdV equations
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, to obtain accurate numerical solutions of coupled nonlinear Schrodinger-Korteweg-de Vries (KdV) equations a Haar wavelet collocation method is proposed. An explicit time stepping scheme is used for discretization of time derivatives and nonlinear terms that appeared in the equations are linearized by a linearization technique and space derivatives are discretized by Haar wavelets. In order to test the accuracy and reliability of the proposed method L-2, L-infinity error norms and conserved quantities are used. Also obtained results are compared with previous ones obtained by finite element method, Crank-Nicolson method and radial basis function meshless methods. Error analysis of Haar wavelets is also given.
Açıklama
Anahtar Kelimeler
Haar wavelet method, coupled nonlinear Schrodinger-KdV equation, nonlinear phenomena, linearization, numerical solution
Kaynak
International Journal of Modern Physics C
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
27
Sayı
9
