论文标题

快速的三级二级显式数值方法,用于调查和预测喀麦隆的腐败和贫困动态

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

论文作者

Ngondiep, Eric

论文摘要

本文构建了第三步的二阶数值方法,用于解决有关腐败和贫困动态的数学模型。使用$ l^{2} $ - 标准分析了提出技术的稳定性和错误估计。开发的算法在零稳定和二阶精度下。此外,新方法比应用于普通微分方程的非线性系统的大型数值方案具有明确,快速,更有效的效率,并且可以用作整合初始值问题的一般系统的强大工具。一些数值示例证实了这一理论,还考虑了喀麦隆的腐败和贫困。

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.

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