The Verification of Influence of the Point „C“ Position from Given Interval to Solving Systems with Highspeed Feedback

Bajčičáková Ingrida () and Jurovatá Dominika ()
Additional contact information
Bajčičáková Ingrida: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Advanced Technologies Research Institute, Bottova 25, 917 24 Trnava, Slovakia
Jurovatá Dominika: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Advanced Technologies Research Institute, Bottova 25, 917 24 Trnava, Slovakia

Research Papers Faculty of Materials Science and Technology Slovak University of Technology, 2015, vol. 23, issue s1, 7-18

Abstract: This article deals with the design of effective numerical scheme for solving three point boundary value problems for second-order nonlinear singularly perturbed differential equations with initial conditions. Especially, it is focused on the analysis of the solutions when the point c from given interval is not the centre of this interval. The obtained system of nonlinear algebraic equations is solved by Newthon-Raphson method in MATLAB. It also verifies the convergence of approximate solutions of an original problem to the solution of reduced problem. We discuss the solution of a given problem with the situation when the point c is in the middle of the given interval.

Keywords: nonlinear dynamic systems; MATLAB; high-speed feedback; numerical scheme (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/rput-2015-0022 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:vrs:repfms:v:23:y:2015:i:s1:p:7-18:n:1

DOI: 10.1515/rput-2015-0022

Access Statistics for this article

Research Papers Faculty of Materials Science and Technology Slovak University of Technology is currently edited by Kvetoslava Rešetová

More articles in Research Papers Faculty of Materials Science and Technology Slovak University of Technology from Sciendo
Bibliographic data for series maintained by Peter Golla ().