The Use of a Runge-Kutta Scheme for an ODE-PDE Model of Supply Chains

Integrating various suppliers to satisfy market demand is of great importance for effective supply chain management. In this paper, we consider the ODE-PDE model of supply chain and apply a classical explicit fourth-order Runge-Kutta scheme for the related ODE model of suppliers. Also, the convergence of the proposed method is proved. Finally a numerical example is studied to demonstrate the accuracy of the proposed method with different choices of time and space meshes.