Abstract | ||
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In [E. Babolian, M.M. Hosseini, Reducing index, and pseudospectral methods for differential-algebraic equations, Appl. Math. Comput. 140 (2003) 77-90] a reducing index method has been proposed for some cases of semi-explicit DAEs (differential algebraic equations). In this paper, this method is generalized to more cases. Also, it is focused on Hessenberg index 2 systems and proposed reduction index method will be illustrated for this problem. The Hessenberg system and its obtained reduced index system are numerically solved through pseudospectral method. In addition, aforementioned methods will be considered by one example. |
Year | DOI | Venue |
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2005 | 10.1016/j.amc.2005.01.074 | Applied Mathematics and Computation |
Keywords | Field | DocType |
linear hessenberg system,differential–algebraic equations,pseudospectral method,hessenberg system,index method,differential-algebraic equation,hessenberg index,proposed reduction index method,differential algebraic equation,e. babolian,index system,index reduction method,hessenberg systems,index reduction techniques,aforementioned method,indexation,differential algebraic equations | Direct method,Differential equation,Linear system,Mathematical analysis,Algebraic equation,Differential algebraic equation,Index system,Mathematics,Numerical linear algebra,Pseudo-spectral method | Journal |
Volume | Issue | ISSN |
171 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
2 | 0.45 | 4 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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M. Hosseini | 1 | 5 | 1.94 |