Abstract
In this paper, we propose a new method, with different approach and economical computing, that presents explicit formulas for the exact solutions of a large class DAEs in Hessenberg forms. First, we illustrate the method for linear time-varying DAEs in Hessenberg forms, in order to show the different approach and also we present an algorithm for proposed method that shows the method is as economic as possible. Then, we describe that the method is efficient for larger classes including special case of non-linear DAEs in Hessenberg forms. Some examples are presented to illustrate the proposed method.
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