A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay

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A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay. / Hendy, Ahmed S.; Zaky, Mahmoud A.; De Staelen, Rob H.
в: Applied Numerical Mathematics, Том 169, 11.2021, стр. 108-121.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

BibTeX

@article{38c30ebcaa85451f95841e506a46876e,

title = "A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay",

keywords = "Convergence analysis, Discrete fractional Gr{\"o}nwall-type inequality, Multi-term time fractional diffusion, Non-linear delay, Space fractional derivatives, STABILITY, DISCRETE GRONWALL INEQUALITY, CONVERGENCE, Discrete fractional Gronwall-type inequality, SCHEMES",

author = "Hendy, {Ahmed S.} and Zaky, {Mahmoud A.} and {De Staelen}, {Rob H.}",

note = "Funding Information: The first author wishes to acknowledge the support of RFBR Grant 19-01-00019 . The second author wishes to acknowledge the partial support of the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant “ Dynamical Analysis and Synchronization of Complex Neural Networks with Its Applications ”). Elsevier B.V., All rights reserved.",

year = "2021",

month = nov,

doi = "10.1016/j.apnum.2021.06.010",

language = "English",

volume = "169",

pages = "108--121",

journal = "Applied Numerical Mathematics",

issn = "0168-9274",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay

AU - Hendy, Ahmed S.

AU - Zaky, Mahmoud A.

AU - De Staelen, Rob H.

N1 - Funding Information: The first author wishes to acknowledge the support of RFBR Grant 19-01-00019 . The second author wishes to acknowledge the partial support of the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant “ Dynamical Analysis and Synchronization of Complex Neural Networks with Its Applications ”). Elsevier B.V., All rights reserved.

PY - 2021/11

Y1 - 2021/11

KW - Convergence analysis

KW - Discrete fractional Grönwall-type inequality

KW - Multi-term time fractional diffusion

KW - Non-linear delay

KW - Space fractional derivatives

KW - STABILITY

KW - DISCRETE GRONWALL INEQUALITY

KW - CONVERGENCE

KW - Discrete fractional Gronwall-type inequality

KW - SCHEMES

UR - http://www.scopus.com/inward/record.url?scp=85109448770&partnerID=8YFLogxK

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000684227000007

UR - https://elibrary.ru/item.asp?id=46895503

U2 - 10.1016/j.apnum.2021.06.010

DO - 10.1016/j.apnum.2021.06.010

M3 - Article

AN - SCOPUS:85109448770

VL - 169

SP - 108

EP - 121

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

SN - 0168-9274

ER -

ID: 22816503