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A study of issues in extreme cases in a numerical solver for nonlinear fractional circuits

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The study deals with the computations of nonlinear fractional circuit analyses in transient states. A numerical solver for FDAE (Fractional Differential-Algebraic Equations) is recalled, which bases on SubIval (acronym for “the subinterval-based method”). In the study, a nonlinear fractional problem was deliberately selected and tuned so as to cause issues occuring only in extreme cases, but motivating the further development of the numerical method. A development idea arises after observations of the error estimation, the influence of the time step adaptivity and the polynomial order.

Translated title of the contributionBadanie problemów w skrajnych przypadkach solwera numerycznego dla nieliniowych obwodów ułamkowych
Original languageEnglish
Pages (from-to)212-218
Number of pages7
JournalPrzeglad Elektrotechniczny
Volume2023
Issue number8
DOIs
Publication statusPublished - 2023

Keywords

  • circuit analysis
  • fractional calculus
  • nonlinear problem
  • numerical solver
  • polynomial order
  • time step adaptivity

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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