A new outlook for analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction using operator splitting method
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The main idea of this paper is to investigate numerical solutions of Noyes Field model for Belousov-Zhabotinsky reaction by implementing the combination of two well-known numerical techniques. The proposed methods are collocation method based on finite elements, which is a useful and very flexible approach for solving partial differential equations (PDE), and operator splitting method which is a widely used procedure in the numerical solution of initial and boundary value problems for PDEs. Especially, for this paper, the application of collocation methods are based on trigonometric cubic B-splines. With the help of two techniques discrete schemes are investigated. Next, we presented stability of discrete schemes with Von- Neumann stability analysis. Also, we present the result of applying methods to Noyes Field model and the error norms L-2 and L-infinity to show how accurate numerical solutions to exact ones and graphical representations associated numerical results are shown.
Açıklama
Anahtar Kelimeler
Noyes-Field model, Collocation method, Trigonometric B-spline basis, Stability analysis
Kaynak
Computers & Mathematics With Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
136
