Higher order discretization of 2-D systems

In this paper the use of higher order discretization methods for two-dimensional (2-D) systems is considered from the point of view of systems theory. First, popular in the classical one-dimensional (1-D) case, multistep methods, called the Adams-Moulton methods, are critically examined. It is shown that using the higher order Adams-Moulton methods for 2-D systems produces several disturbances, especially related to causality of a derived discrete system approximation and model complication. In the following, the single-step higher order method is proposed which avoids some disadvantages of the Adams-Moulton methods