A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iop Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, an efficient numerical method is applied to KdV-Burger-Fisher equation which is one of the dispersion-dissipation-reaction model. The present method is based on the collocation method whose weight functions are taken from the family of the Dirac delta functions in finite element methods. The element functions are selected as quintic trigonometric B-spline basis. The error norms L 2 and L infinity are calculated to measure the efficiency of the method. Numerical solutions and error norms which are obtained via collocation method and trigonometric basis are presented in tables and simulations of the solutions are exhibited as well. Additionally, stability analysis is investigated.
Açıklama
Anahtar Kelimeler
KdV-Burger-Fisher equation, collocation method, quintic trigonometric B-spline basis, Stability
Kaynak
Physica Scripta
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
99
Sayı
8
