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

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