On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm

On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm

In this paper, we present a new reduction algorithm for solving system of linear differential-algebraic equations with power series coefficients. In the proposed algorithm, we transform the given system of differential-algebraic equations into another simple equivalent system using the elementary al...

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Main Author: Srinivasarao Thota
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2020/6671926
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spelling doaj-2447ae7aac384830a548065144d2aadc2020-12-28T01:30:45ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences1687-04252020-01-01202010.1155/2020/6671926On Solving System of Linear Differential-Algebraic Equations Using Reduction AlgorithmSrinivasarao Thota0Department of Applied MathematicsIn this paper, we present a new reduction algorithm for solving system of linear differential-algebraic equations with power series coefficients. In the proposed algorithm, we transform the given system of differential-algebraic equations into another simple equivalent system using the elementary algebraic techniques. This algorithm would help to implement the manual calculations in commercial packages such as Mathematica, Maple, MATLAB, Singular, and Scilab. Maple implementation of the proposed algorithm is discussed, and sample computations are presented to illustrate the proposed algorithm.http://dx.doi.org/10.1155/2020/6671926
collection DOAJ
language English
format Article
sources DOAJ
author Srinivasarao Thota
spellingShingle Srinivasarao Thota
On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm
International Journal of Mathematics and Mathematical Sciences
author_facet Srinivasarao Thota
author_sort Srinivasarao Thota
title On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm
title_short On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm
title_full On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm
title_fullStr On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm
title_full_unstemmed On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm
title_sort on solving system of linear differential-algebraic equations using reduction algorithm
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 1687-0425
publishDate 2020-01-01
description In this paper, we present a new reduction algorithm for solving system of linear differential-algebraic equations with power series coefficients. In the proposed algorithm, we transform the given system of differential-algebraic equations into another simple equivalent system using the elementary algebraic techniques. This algorithm would help to implement the manual calculations in commercial packages such as Mathematica, Maple, MATLAB, Singular, and Scilab. Maple implementation of the proposed algorithm is discussed, and sample computations are presented to illustrate the proposed algorithm.
url http://dx.doi.org/10.1155/2020/6671926
work_keys_str_mv AT srinivasaraothota onsolvingsystemoflineardifferentialalgebraicequationsusingreductionalgorithm
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