标题： 一种快速第三步二阶显式数值方法用于研究和预测喀麦隆腐败与贫困的动态 显示英文标题

标题： A Fast Third-Step Second-Order Explicit Numerical Approach To Investigating and Forecasting The Dynamic of Corruption And Poverty In Cameroon

摘要： 本文构建了一个三步二阶数值方法，用于求解关于腐败和贫困动态的数学模型。 所提出技术的稳定性和误差估计是利用$L^{2}$-范数进行分析的。 开发的算法是至少零稳定的且二阶准确的。 此外，新方法是显式的、快速的，并且比应用于非线性常微分方程组的大量数值格式更高效，可以作为求解一般初值问题系统的强大工具。 一些数值例子验证了理论，并且也考虑了喀麦隆的腐败和贫困。 显示英文摘要

摘要： This paper constructs a third-step second-order numerical approach for solving a mathematical model on the dynamic of corruption and poverty. The stability and error estimates of the proposed technique are analyzed using the $L^{2}$-norm. The developed algorithm is at less zero-stable and second-order accurate. Furthermore, the new method is explicit, fast and more efficient than a large class of numerical schemes applied to nonlinear systems of ordinary differential equations and can serve as a robust tool for integrating general systems of initial-value problems. Some numerical examples confirm the theory and also consider the corruption and poverty in Cameroon.