The classical kinetic experiment in physical chemistry, Belousov-Zhabotinsky (B-Z) oscillating reaction, was redesigned. The mathematical treatment of nonlinear complex reaction kinetics based on the reaction mechanism and the application of B-Z reaction in the detection of silver ions are introduced in the new experimental scheme. The new scheme can deepen students' understanding of nonlinear non-equilibrium kinetics and dissipative structure. Moreover, the numerical method dealing with the complex kinetics can be used in future scientific research and practice.