The Parametric Solution of Underdetermined linear ODEs

Details The Parametric Solution of Underdetermined linear ODEs The Parametric Solution of Underdetermined linear ODEs

2011-08-23

arxiv.org/abs/1108.4487v1

Programming and Computer Software, 37 (2011), Number 2, 62-70

Computer Science

Symbolic Computation

14 pages

Scientific paper

10.1134/S0361768811020113

The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its applicability to the parametric solution of underdetermined linear ordinary differential equations (ODEs) with coefficients that are arbitrary analytic functions in the independent variable. A second conceptual aim is to present an algorithm that is in some sense dual to the fundamental Euclids algorithm, and thus an alternative to the special case of a Groebner basis algorithm as it is used for solving linear ODE-systems. In the paper Euclids algorithm and the new `dual version' are compared and their complementary strengths are analysed on the task of solving underdetermined ODEs. An implementation of the described algorithm is interactively accessible under http://lie.math.brocku.ca/crack/demo.

Affiliated with

Also associated with

No associations

Rating

The Parametric Solution of Underdetermined linear ODEs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Parametric Solution of Underdetermined linear ODEs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Parametric Solution of Underdetermined linear ODEs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-66733