Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations

ABSTRACT In this paper, we apply the modified Adams–Bashforth–Moulton method to analyze and simulate a fractional oscillatory chemical reaction model incorporating the Caputo derivative. A comprehensive stability analysis of the model and the convergence analysis of the method are conducted to ensure reliability. To evaluate the accuracy of the method, an error analysis is carried out, and the outcomes are compared with those obtained from the Newton polynomial interpolation method. Additionally, consecutive errors are calculated to measure the effectiveness and precision of the proposed approach. The numerical results are presented in tabular and graphical formats, demonstrating the robustness and applicability of the proposed method in modeling complex chemical reaction dynamics.