An application for a modified KdV equation by the decomposition method and finite element method
Küçük Resim Yok
Tarih
2005
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A numerical solution to a Modified Korteweg-cle Vries (MKdV) equation is obtained using a lumped Galerkin method with quadratic B-spline finite element method (FEM) and using the Adomian's Decomposition Method (ADM). Test problems concerning the motion and interaction of soliton solutions are used to compare the FEM with the ADM. Classical problems concerning the development, motion and interaction of solitons are used to validate the methods. The present methods extremely well in terms of accuracy, efficiency, simplicity, stability and reliability. (c) 2004 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
the decomposition method, Korteweg-de Vries equation, splines finite element method, Galerkin method, soliton solution
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
169
Sayı
2
