Title : ( A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms )
Authors: Mohammad Golchian , Mortaza Gachpazan , Hashem tabasi ,
Full TextAbstract
In this paper, we propose a new method, with different approach and economical computing, that presentsexplicit formulas for the exact solutions of a large class DAEs in Hessenberg forms. First, we illustrate themethod for linear time-varying DAEs in Hessenberg forms, in order to show the different approach and alsothe advantages of the method in computing, that make it economical. Then, we describe that the method isefficient for larger classes including special case of non-linear DAEs in Hessenberg forms. Some examplesare given to illustrate the proposed method.
Keywords
, Differential Algebraic Equations, The Hessenberg Forms, Linear Time-Varying, LinearSystems of Equations, Backward Substitution.
@article{paperid:1079574,
author = {محمد گلچیان and Gachpazan, Mortaza and هاشم طبسی},
title = {A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms},
journal = {International Journal of Nonlinear Analysis and Applications},
year = {2020},
volume = {11},
number = {1},
month = {January},
issn = {2008-6822},
pages = {199--206},
numpages = {7},
keywords = {Differential Algebraic Equations; The Hessenberg Forms; Linear Time-Varying; LinearSystems of Equations; Backward Substitution.},
}
%0 Journal Article
%T A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms
%A محمد گلچیان
%A Gachpazan, Mortaza
%A هاشم طبسی
%J International Journal of Nonlinear Analysis and Applications
%@ 2008-6822
%D 2020
