Numerical Analysis of the Fractional-Order Belousov–Zhabotinsky System

This paper presents a new approach for finding analytic solutions to the Belousov–Zhabotinsky system by combining Adomian decomposition method (ADM) and homotopy perturbation (HPM) with Elzaki transform. The ADM HPM are both powerful techniques solving nonlinear differential equations, their combination allows more efficient accurate solution. transform, on other hand, is mathematical tool that transforms into simpler form, making it easier solve. proposed applied system, which well-known model studying chemical reactions. results show combined capable of providing system. Furthermore, also able capture complex behavior such as formation oscillatory patterns. Overall, offers promising those encountered in field kinetics. ADM, HPM, transform solution, can provide valuable insights systems.