An easy to implement linearized numerical scheme for fractional reaction–diffusion equations with a prehistorical nonlinear source function

A. K. Omran; M. A. Zaky; A. S. Hendy; V. G. Pimenov

doi:10.1016/j.matcom.2022.04.014

An easy to implement linearized numerical scheme for fractional reaction–diffusion equations with a prehistorical nonlinear source function

A. K. Omran, M. A. Zaky, A. S. Hendy, V. G. Pimenov

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

Original language	English
Pages (from-to)	218-239
Number of pages	22
Journal	Mathematics and Computers in Simulation
Volume	200
DOIs	https://doi.org/10.1016/j.matcom.2022.04.014
Publication status	Published - Oct 2022

Keywords

Discrete fractional Grönwall inequalities
Fractional Halanay inequalities
Fractional reaction–diffusion
Galerkin–Legendre spectral method
L1 difference scheme
Prehistory

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)
Numerical Analysis
Modelling and Simulation
Applied Mathematics

WoS ResearchAreas Categories

Computer Science, Interdisciplinary Applications
Computer Science, Software Engineering
Mathematics, Applied

Access to Document

10.1016/j.matcom.2022.04.014

Cite this

@article{8b014aeac07a40339568bcc771c74c82,

title = "An easy to implement linearized numerical scheme for fractional reaction–diffusion equations with a prehistorical nonlinear source function",

keywords = "Discrete fractional Gr{\"o}nwall inequalities, Fractional Halanay inequalities, Fractional reaction–diffusion, Galerkin–Legendre spectral method, L1 difference scheme, Prehistory",

author = "Omran, {A. K.} and Zaky, {M. A.} and Hendy, {A. S.} and Pimenov, {V. G.}",

note = "Publisher Copyright: {\textcopyright} 2022 International Association for Mathematics and Computers in Simulation (IMACS)",

year = "2022",

month = oct,

doi = "10.1016/j.matcom.2022.04.014",

language = "English",

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pages = "218--239",

journal = "Mathematics and Computers in Simulation",

issn = "0378-4754",

publisher = "Elsevier",

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T1 - An easy to implement linearized numerical scheme for fractional reaction–diffusion equations with a prehistorical nonlinear source function

AU - Omran, A. K.

AU - Zaky, M. A.

AU - Hendy, A. S.

AU - Pimenov, V. G.

PY - 2022/10

Y1 - 2022/10

KW - Discrete fractional Grönwall inequalities

KW - Fractional Halanay inequalities

KW - Fractional reaction–diffusion

KW - Galerkin–Legendre spectral method

KW - L1 difference scheme

KW - Prehistory

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U2 - 10.1016/j.matcom.2022.04.014

DO - 10.1016/j.matcom.2022.04.014

M3 - Article

AN - SCOPUS:85129536338

VL - 200

SP - 218

EP - 239

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

SN - 0378-4754

ER -

An easy to implement linearized numerical scheme for fractional reaction–diffusion equations with a prehistorical nonlinear source function

Keywords

ASJC Scopus subject areas

WoS ResearchAreas Categories

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Численные методы решения уравнений с дробными производными с нелинейным эффектом запаздывания

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An easy to implement linearized numerical scheme for fractional reaction–diffusion equations with a prehistorical nonlinear source function

Keywords

ASJC Scopus subject areas

WoS ResearchAreas Categories

Access to Document

Other files and links

Fingerprint

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Численные методы решения уравнений с дробными производными с нелинейным эффектом запаздывания

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