THE USE OF A RUNGE-KUTTA SCHEME FOR AN ODE-PDE MODEL OF SUPPLY CHAINS

Subject Areas : International Journal of Mathematical Modelling & Computations

M. A. Fariborzi Araghi ¹ , S. Mamizadeh Chatghayeh ²

1 - Iran, Islamic Republic of
2 - Iran, Islamic Republic of

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2013-03-21

Keywords:

Abstract :

Integrating various suppliers to satisfy market demand is of great importance for e ective 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.