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

Marcin Sowa

doi:10.15199/48.2023.08.38

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

Przetłumaczony tytuł wkładu: Badanie problemów w skrajnych przypadkach solwera numerycznego dla nieliniowych obwodów ułamkowych

Marcin Sowa

Katedra Elektrotechniki i Informatyki (RE/RE3)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

1 Cytowanie z bazy Scopus

Abstrakt

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.

Przetłumaczony tytuł wkładu	Badanie problemów w skrajnych przypadkach solwera numerycznego dla nieliniowych obwodów ułamkowych
Język oryginału	angielski
Strony (od–do)	212-218
Liczba stron	7
Czasopismo	Przeglad Elektrotechniczny
Tom	2023
Numer wydania	8
Identyfikatory DOI	https://doi.org/10.15199/48.2023.08.38
Status publikacji	Opublikowano - 2023

Obszary tematyczne ASJC Scopus

Inżynieria elektryczna i elektroniczna

Uzyskaj dostęp do dokumentu

10.15199/48.2023.08.38

Inne pliki i linki

Link do publikacji w Scopus

Cytowanie

@article{ad202ed7c0ba4090ae6bdcf596fa50e1,

title = "A study of issues in extreme cases in a numerical solver for nonlinear fractional circuits",

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 {\textquotedblleft}the subinterval-based method{\textquotedblright}). 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.",

keywords = "circuit analysis, fractional calculus, nonlinear problem, numerical solver, polynomial order, time step adaptivity",

author = "Marcin Sowa",

year = "2023",

doi = "10.15199/48.2023.08.38",

language = "English",

volume = "2023",

pages = "212--218",

journal = "Przeglad Elektrotechniczny",

issn = "0033-2097",

publisher = "Wydawnictwo SIGMA-NOT",

number = "8",

}

TY - JOUR

T1 - A study of issues in extreme cases in a numerical solver for nonlinear fractional circuits

AU - Sowa, Marcin

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - circuit analysis

KW - fractional calculus

KW - nonlinear problem

KW - numerical solver

KW - polynomial order

KW - time step adaptivity

UR - https://www.scopus.com/pages/publications/85172403816

U2 - 10.15199/48.2023.08.38

DO - 10.15199/48.2023.08.38

M3 - Article

AN - SCOPUS:85172403816

SN - 0033-2097

VL - 2023

SP - 212

EP - 218

JO - Przeglad Elektrotechniczny

JF - Przeglad Elektrotechniczny

IS - 8

ER -

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

Abstrakt

Obszary tematyczne ASJC Scopus

Uzyskaj dostęp do dokumentu

Inne pliki i linki

Fingerprint

Cytowanie