A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms
عنوان مقاله: A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms
شناسه ملی مقاله: JR_IJNAA-11-1_016
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_IJNAA-11-1_016
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
- - - Mathematics and Computer sicences, department Damghan University , Damghan, Iran
- - - Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
- - - department of mathematic and computer scienc
خلاصه مقاله:
- - - Mathematics and Computer sicences, department Damghan University , Damghan, Iran
- - - Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
- - - department of mathematic and computer scienc
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.
کلمات کلیدی: Differential Algebraic Equations, The Hessenberg Forms, Linear Time-Varying, Linear Systems of Equations, Backward Substitution
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1561629/