Differential quadrature-based numerical solutions of a fluid dynamic model for supply chains

In this paper, we discuss a numerical approach for the simulation of a model for supply chains based on both ordinary and partial differential equations. Such a methodology foresees differential quadrature rules and a Picard-like recursion. In its former version, it was proposed for the solution of ordinary differential equations and is here extended to the case of partial differential equations. The outcome is a final non-recursive scheme, which uses matrices and vectors, with consequent advantages for the determination of the local error. A test case shows that traditional methods give worse approximations with respect to the proposed formulation.