Highly accurate difference schemes for time-nonlocal Schrodinger type problems

Allaberen Ashyralyev; Ali Sirma; Charyyar Ashyralyyev

doi:10.1002/num.22979

Highly accurate difference schemes for time-nonlocal Schrodinger type problems

Allaberen Ashyralyev, Ali Sirma, Charyyar Ashyralyyev

Matematik

Araştırma sonucu: Dergi katkısı › Makale › bilirkişi

1 Alıntı (Scopus)

Özet

In this study, time-nonlocal Schrodinger type problems are investigated. Single step absolute stable highly accurate difference schemes for the numerical solution of these problems are presented and theorems on the stability of these difference schemes are established. Numerical illustrations in test examples for the third and fourth order of accuracy difference schemes are presented.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	2584-2599
Sayfa sayısı	16
Dergi	Numerical Methods for Partial Differential Equations
Hacim	39
Basın numarası	3
DOI'lar	https://doi.org/10.1002/num.22979
Yayın durumu	Yayınlanan - May 2023

Belgeye Erişim

10.1002/num.22979

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title = "Highly accurate difference schemes for time-nonlocal Schrodinger type problems",

abstract = "In this study, time-nonlocal Schrodinger type problems are investigated. Single step absolute stable highly accurate difference schemes for the numerical solution of these problems are presented and theorems on the stability of these difference schemes are established. Numerical illustrations in test examples for the third and fourth order of accuracy difference schemes are presented.",

keywords = "Schrodinger problem, difference schemes, stability",

author = "Allaberen Ashyralyev and Ali Sirma and Charyyar Ashyralyyev",

note = "Publisher Copyright: {\textcopyright} 2022 Wiley Periodicals LLC.",

year = "2023",

month = may,

doi = "10.1002/num.22979",

language = "English",

volume = "39",

pages = "2584--2599",

journal = "Numerical Methods for Partial Differential Equations",

issn = "0749-159X",

publisher = "John Wiley \& Sons Inc.",

number = "3",

}

TY - JOUR

T1 - Highly accurate difference schemes for time-nonlocal Schrodinger type problems

AU - Ashyralyev, Allaberen

AU - Sirma, Ali

AU - Ashyralyyev, Charyyar

PY - 2023/5

Y1 - 2023/5

N2 - In this study, time-nonlocal Schrodinger type problems are investigated. Single step absolute stable highly accurate difference schemes for the numerical solution of these problems are presented and theorems on the stability of these difference schemes are established. Numerical illustrations in test examples for the third and fourth order of accuracy difference schemes are presented.

AB - In this study, time-nonlocal Schrodinger type problems are investigated. Single step absolute stable highly accurate difference schemes for the numerical solution of these problems are presented and theorems on the stability of these difference schemes are established. Numerical illustrations in test examples for the third and fourth order of accuracy difference schemes are presented.

KW - Schrodinger problem

KW - difference schemes

KW - stability

UR - https://www.scopus.com/pages/publications/85144200247

U2 - 10.1002/num.22979

DO - 10.1002/num.22979

M3 - Article

AN - SCOPUS:85144200247

SN - 0749-159X

VL - 39

SP - 2584

EP - 2599

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 3

ER -

Highly accurate difference schemes for time-nonlocal Schrodinger type problems

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