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Acta Polytechnica HungaricaVolume 18, Issue 9, 2021, Pages 49-67

Comparison of Derivative-free Method and Finite-difference Method for Singular Systems(Article)(Open Access)

  • Buhmiler, S.,
  • Rapajić, S.,
  • Medić, S.,
  • Duraković, N.,
  • Grbić, T.
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  • aUniversity of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovića 6, Novi Sad, 21000, Serbia
  • bUniversity of Novi Sad, Faculty of Sciences, Trg Dositeja Obradovića 3, Novi Sad, 21000, Serbia

Abstract

In this paper, the derivative-free method for solving singular systems is compared with the classical finite-difference method for nonlinear systems. Since the convergence rate of an iterative method to singular solution drops down, the convergence can be accelerated by forming the bordered system. Left and right singular vectors of the finite-difference approximation of the Jacobian are used for the construction of the bordered system. The local algorithm for finding a solution is tested on several examples and compared with the finite-difference method. The obtained numerical results, which are promising, indicate fast local convergence of the proposed derivative-free method and point out that it has better performances than the finite-difference method. © 2021, Budapest Tech Polytechnical Institution. All rights reserved.

Author keywords

Bordered systemFinite-difference approximationNonlinear systemSingular system

Funding details

Funding sponsor Funding number Acronym
Provincial Secretariat for Higher Education and Scientific Research, Autonomous Province of Vojvodina

  • 1

    The authors are partially supported by Chair of Mathematics, Department of Fundamental Disciplines, Faculty of Technical Sciences, through the Project ”Teorijska i primenjena matematika u tehničkim i informatičkim naukama” and Project 142-451-2102/2019 of the Provincial Secretariat for Higher Education and Scientific Research.

  • ISSN: 17858860
  • Source Type: Journal
  • Original language: English
  • DOI: 10.12700/APH.18.9.2021.9.4
  • Document Type: Article
  • Publisher: Budapest Tech Polytechnical Institution


© Copyright 2022 Elsevier B.V., All rights reserved.

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