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

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

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.

Original language	English
Pages (from-to)	2584-2599
Number of pages	16
Journal	Numerical Methods for Partial Differential Equations
Volume	39
Issue number	3
DOIs	https://doi.org/10.1002/num.22979
Publication status	Published - May 2023
Externally published	Yes

Keywords

Schrodinger problem
difference schemes
stability

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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",

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year = "2023",

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doi = "10.1002/num.22979",

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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

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U2 - 10.1002/num.22979

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AN - SCOPUS:85144200247

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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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Keywords

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