The purpose of this research is to impose a semi-analytical method called the iterative method to the chemical kinetics system, which appears in the form of a system of ordinary differential equations. To test the accuracy of the standard iterative method, we have applied the classical fourth-order Runge–Kutta method and the iterative method to the chemical kinetics system. It is significantly notable that approximate analytical precisions of standard iterative method made a high agreement with those obtained from the fourth-order Runge–Kutta technique. Numerical outputs and solution procedures indicate that iterative method can be easily applicable to a large class of scientific numeric applications with high accuracy.

本研究的目的是对化学动力学系统强加一种称为迭代法的半分析方法，该方法以常微分方程组的形式出现。为了测试标准迭代方法的准确性，我们将经典的四阶Runge–Kutta方法和迭代方法应用于化学动力学系统。值得注意的是，标准迭代方法的近似分析精度与从四阶Runge-Kutta技术获得的分析精度高度吻合。数值输出和求解过程表明，迭代方法可以轻松地以高精度应用于大量的科学数值应用。