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A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time

A new fourth-order explicit grouping iterative method is constructed for the numerical solution of the fractional sub-diffusion equation. The discretization of the equation is based on fourth-order finite difference method. Captive fractional discretization having functions with a weak singularity a...

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Main Authors: Khan, Muhammad Asim, Alias, Norma, Ali, Umair
Format: Article
Language:English
Published: American Institute of Mathematical Sciences 2023
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/104941/1/NormaAlias2023_ANewFourthOrderGroupingIterativeMethod.pdf
http://eprints.utm.my/104941/
http://dx.doi.org/10.3934/math.2023697
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spelling my.utm.1049412024-04-01T06:14:21Z http://eprints.utm.my/104941/ A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time Khan, Muhammad Asim Alias, Norma Ali, Umair QA Mathematics A new fourth-order explicit grouping iterative method is constructed for the numerical solution of the fractional sub-diffusion equation. The discretization of the equation is based on fourth-order finite difference method. Captive fractional discretization having functions with a weak singularity at t = 0 is used for time and similarly, the space derivative is approximated with the help of fourth-order approximation. Furthermore, the convergence and stability of the scheme are analyzed. Finally, the accuracy and validity are investigated by some numerical examples. American Institute of Mathematical Sciences 2023 Article PeerReviewed application/pdf en http://eprints.utm.my/104941/1/NormaAlias2023_ANewFourthOrderGroupingIterativeMethod.pdf Khan, Muhammad Asim and Alias, Norma and Ali, Umair (2023) A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time. AIMS Mathematics, 8 (6). pp. 13725-13746. ISSN 2473-6988 http://dx.doi.org/10.3934/math.2023697 DOI : 10.3934/math.2023697
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Khan, Muhammad Asim
Alias, Norma
Ali, Umair
A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time
description A new fourth-order explicit grouping iterative method is constructed for the numerical solution of the fractional sub-diffusion equation. The discretization of the equation is based on fourth-order finite difference method. Captive fractional discretization having functions with a weak singularity at t = 0 is used for time and similarly, the space derivative is approximated with the help of fourth-order approximation. Furthermore, the convergence and stability of the scheme are analyzed. Finally, the accuracy and validity are investigated by some numerical examples.
format Article
author Khan, Muhammad Asim
Alias, Norma
Ali, Umair
author_facet Khan, Muhammad Asim
Alias, Norma
Ali, Umair
author_sort Khan, Muhammad Asim
title A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time
title_short A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time
title_full A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time
title_fullStr A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time
title_full_unstemmed A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time
title_sort new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time
publisher American Institute of Mathematical Sciences
publishDate 2023
url http://eprints.utm.my/104941/1/NormaAlias2023_ANewFourthOrderGroupingIterativeMethod.pdf
http://eprints.utm.my/104941/
http://dx.doi.org/10.3934/math.2023697
_version_ 1797905675047665664
score 13.201949

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