Use of fractional calculus to avoid divergence in Newton-like solver for solving one-dimensional nonlinear polynomial-based models

Basit Öğe Kaydı
dc.contributor.authorSania Qureshi
dc.contributor.authorAmanullah Soomro
dc.contributor.authorIoannis K. Argyros
dc.contributor.authorKrzysztof Gdawiec
dc.contributor.authorAli Akgül
dc.contributor.authorMarwan Alquran
dc.date.accessioned2025-02-03T10:35:34Z
dc.date.available2025-02-03T10:35:34Z
dc.date.issued2025-04
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThere are many different fields of study where nonlinear polynomial-based models arise and need to be solved, making the study of root-finding iterative solvers an important topic of research. Our goal was to use the two most significant fractional differential operators, Caputo and Riemann–Liouville, and an existing time-efficient three-step Newton-like iterative solver to address the growing interest in fractional calculus. The classical solver is preserved alongside a damping term created within it that tends to 1 as the fractional order α approaches 1. The solvers’ local and semi-local convergence are investigated, and the stability trade-off with convergence speed is discussed at length. The suggested fractional-order solvers are tested on a number of nonlinear one-dimensional polynomial-based problems that come up in image processing, mechanical design, and civil engineering, such as beam deflection; and many more.
dc.identifier.citationQureshi, S., Soomro, A., Argyros, I. K., Gdawiec, K., Akgül, A., & Alquran, M. (2025). Use of fractional calculus to avoid divergence in newton-like solver for solving one-dimensional nonlinear polynomial-based models. Communications in Nonlinear Science and Numerical Simulation, 108631.
dc.identifier.doi10.1016/j.cnsns.2025.108631
dc.identifier.issn1007-5704
dc.identifier.scopus2-s2.0-85216114684
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.cnsns.2025.108631
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8487
dc.identifier.volume143
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.language.isoen
dc.publisherElsevier BV
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBasins of attraction
dc.subjectFractional order derivative
dc.subjectLocal and semilocal analysis
dc.subjectStability
dc.titleUse of fractional calculus to avoid divergence in Newton-like solver for solving one-dimensional nonlinear polynomial-based models
dc.typejournal-article
oaire.citation.volume143

Dosyalar

Lisans paketi
Listeleniyor 1 - 1 / 1
[ X ]
İsim:
license.txt
Boyut:
1.17 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu
2) Makale