<p>This study investigates the feasibility of applying the bisection method to solve the minimization problem in the advanced nonlinear integral model-free kinetic method. Using theoretically simulated kinetic data with variable kinetic parameters, the objective function involved in the application of the advanced nonlinear integral model-free method was shown to exhibit a clear unimodal behavior, confirming the theoretical suitability of the bisection method in the implementation of the advanced nonlinear integral model-free kinetic method. The optimization process achieved stable convergence within few iterations at various conversions, demonstrating high computational efficiency and robustness. Sensitivity analysis revealed that the integration interval significantly influences accuracy, with reliable activation energy estimation obtained when Δα ≤ 0.005, as supported by small deviations between the calculated and simulated activation energies. These results demonstrate that integrating the bisection method into the advanced nonlinear integral model-free kinetic analysis provides a simple, stable, and efficient computational methodology.</p>