A novel perspective for simulations of the Modified Equal-Width Wave equation by cubic Hermite B-spline collocation method
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the current study, the Modified Equal -Width (MEW) equation will be handled numerically by a novel technique using collocation finite element method where cubic Hermite B -splines are used as trial functions. To test the accuracy and efficiency of the method, four different experimental problems; namely, the motion of a single solitary wave, interaction of two solitary waves, interaction of three solitary waves and the birth of solitons with the Maxwellian initial condition will be investigated. In order to verify, the validity and reliability of the proposed method, the newly obtained error norms L 2 and L infinity as well as three conservation constants have been compared with some of the other numerical results given in the literature at the same parameters. Furthermore, some wave profiles of the newly obtained numerical results have been given to demonstrate that each test problem exhibits accurate physical simulations. The advantage of the proposed method over other methods is the usage of inner points at Legendre and Chebyshev polynomial roots. This advantage results in better accuracy with less number of elements in spatial direction. The results of the numerical experiments clearly reveal that the presented scheme produces more accurate results even with comparatively coarser grids.
Açıklama
Anahtar Kelimeler
Modified Equal-Width Wave equation, Collocation method, Cubic Hermite B-splines, Solitary waves, Legendre and Chebyshev shifted roots
Kaynak
Wave Motion
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
129
