A fast three-step second-order explicit numerical approach to investigating and forecasting the dynamic of corruption and poverty in Cameroon

Abstract

This paper constructs a three-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 L2-norm. The developed algorithm is at least zero-stable and second-order accurate. Furthermore, the new method is explicit, faster 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.

Keywords

• Mathematical model of corruption and poverty
• A three-step explicit numerical method
• Stability analysis
• Convergence rate
• Numerical examples