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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Bibliographic Details
Published inInternational journal of mathematics and mathematical sciences Vol. 2020; no. 2020; pp. 1 - 10
Main Author Thota, Srinivasarao
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 16.12.2020
Hindawi
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Algebra
Algorithms
Differential equations
Mathematical analysis
Power series
Reduction
Technology application
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Summary: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/2020/6671926