Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1704650 | Applied Mathematical Modelling | 2013 | 12 Pages |
Abstract
In this paper we consider the problem of approximating the dynamical system that models reliability of a system consisting of two machines separated by a finite storage buffer. The system is described as a distributed parameter system defined by a coupled partial and ordinary differential equations and formulated as an abstract Cauchy problem. To derive the dynamical solution and some instantaneous indexes of the model, we present a simple finite difference scheme and establish the convergence of this scheme by employing Trotter–Kato Theorem. Numerical results are given to illustrate the effectiveness of the scheme.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Houbao Xu, Weiwei Hu,