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A Discrete Gronwall Inequality and Energy Estimates in the Analysis of a Discrete Model for a Nonlinear Time-Fractional Heat Equation. / Hendy, Ahmed S.; Macías-Díaz, Jorge E.
In: Mathematics, Vol. 8, No. 9, 1539, 09.2020.

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@article{ee9029c18f5642f0856f2841a8d85a90,
title = "A Discrete Gronwall Inequality and Energy Estimates in the Analysis of a Discrete Model for a Nonlinear Time-Fractional Heat Equation",
keywords = "Convergence and stability analyses, Discrete energy estimates, Discrete fractional Gr{\"o}nwall inequality, Nonlinear fractional heat equation, REACTION-DIFFUSION EQUATIONS, discrete energy estimates, discrete fractional Gronwall inequality, APPROXIMATIONS, BOUNDARY-VALUE-PROBLEMS, FINITE-DIFFERENCE METHOD, convergence and stability analyses, ORDER, SCHEME, nonlinear fractional heat equation",
author = "Hendy, {Ahmed S.} and Mac{\'i}as-D{\'i}az, {Jorge E.}",
year = "2020",
month = sep,
doi = "10.3390/math8091539",
language = "English",
volume = "8",
journal = "Mathematics",
issn = "2227-7390",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "9",

}

RIS

TY - JOUR

T1 - A Discrete Gronwall Inequality and Energy Estimates in the Analysis of a Discrete Model for a Nonlinear Time-Fractional Heat Equation

AU - Hendy, Ahmed S.

AU - Macías-Díaz, Jorge E.

PY - 2020/9

Y1 - 2020/9

KW - Convergence and stability analyses

KW - Discrete energy estimates

KW - Discrete fractional Grönwall inequality

KW - Nonlinear fractional heat equation

KW - REACTION-DIFFUSION EQUATIONS

KW - discrete energy estimates

KW - discrete fractional Gronwall inequality

KW - APPROXIMATIONS

KW - BOUNDARY-VALUE-PROBLEMS

KW - FINITE-DIFFERENCE METHOD

KW - convergence and stability analyses

KW - ORDER

KW - SCHEME

KW - nonlinear fractional heat equation

UR - http://www.scopus.com/inward/record.url?scp=85091373602&partnerID=8YFLogxK

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000580441200001

U2 - 10.3390/math8091539

DO - 10.3390/math8091539

M3 - Article

AN - SCOPUS:85091373602

VL - 8

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 9

M1 - 1539

ER -

ID: 13913283