Operator splitting method for numerical solution of modified equal width equation
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tbilisi Centre Math Sci
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this manuscript, numerical solutions of the equations in the form of u(t) = Au + B(u) have been sought for, where A and B are linear and nonlinear operators, respectively. The modified equal width (MEW) equation has been converted into two sub problems. Then, the sub problems were solved according to the Strang splitting scheme by applying the cubic B-spline collocation finite element method. Thus, more accurate results of the equation MEW have been obtained than those non-splitting users. In order to test the accuracy and efficiency of the present method; single soliton, interaction of two solitons and Maxwellian initial condition pulse problems have been considered. Moreover, the stability analysis of each sub problem has been investigated by von-Neumann analysis method.
Açıklama
Anahtar Kelimeler
operator splitting method, soliton, finite element method, B-splines, solitary waves
Kaynak
Tbilisi Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
12
Sayı
3
