Karaagac, BeratEsen, AlaattinUcar, YusufYagmurlu, Nuri Murat2024-08-042024-08-0420230898-12211873-7668https://doi.org/10.1016/j.camwa.2023.02.009https://hdl.handle.net/11616/101186The 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.eninfo:eu-repo/semantics/closedAccessNoyes-Field modelCollocation methodTrigonometric B-spline basisStability analysisArticle13612713510.1016/j.camwa.2023.02.0092-s2.0-85148686888Q1WOS:000990776100001Q1