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

TL;DR

This paper introduces a new explicit numerical method for efficiently modeling the dynamics of corruption and poverty in Cameroon, providing stability and accuracy analysis along with numerical validation.

Contribution

It develops a third-step second-order explicit numerical approach specifically designed for nonlinear systems, with proven stability and error estimates, applied to socio-economic issues.

Findings

The method is less zero-stable and second-order accurate.

Numerical examples validate the theoretical stability and accuracy.

Application to Cameroon’s corruption and poverty dynamics demonstrates practical utility.

Abstract

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.