Symbolic Algorithm for a System of Differential-Algebraic Equations

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2016-12-23 DOI:10.5666/KMJ.2016.56.4.1141

S. Thota, D. Kumar

引用次数: 10

Abstract

In this paper, a symbolic algorithm for solving a regular initial value problem (IVP) for a system of linear differential-algebraic equations (DAEs) with constant coefficients has been presented. Algebra of integro-differential operators is employed to express the given system of DAEs. We compute a canonical form of the given system which produces another simple equivalent system. Algorithm includes computing the matrix Green’s operator and the vector Green’s function of a given IVP. Implementation of the proposed algorithm in Maple is also presented with sample computations.

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微分-代数方程组的符号算法

本文给出了求解常系数线性微分-代数方程组的正则初值问题的符号算法。利用积分-微分算子代数来表示给定的DAEs系统。我们计算给定系统的一个标准形式，它产生另一个简单的等效系统。该算法包括计算给定IVP的矩阵格林算子和向量格林函数。本文还通过实例计算给出了该算法在Maple中的实现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.