Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation

A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with this goal, the drift term and the time Caputo fractional derivative are discretized by a finite difference approximation. The energy method i...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Mostafa Abbaszadeh, Mehdi Dehghan, Mahmoud A. Zaky, Ahmed S. Hendy
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/bbc975c49e31494db226ba119ccf4e8f
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:bbc975c49e31494db226ba119ccf4e8f
record_format	dspace
spelling	oai:doaj.org-article:bbc975c49e31494db226ba119ccf4e8f2021-11-29T00:56:07ZInterpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation2314-888810.1155/2021/6665420https://doaj.org/article/bbc975c49e31494db226ba119ccf4e8f2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/6665420https://doaj.org/toc/2314-8888A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with this goal, the drift term and the time Caputo fractional derivative are discretized by a finite difference approximation. The energy method is used to investigate the rate of convergence and unconditional stability of the temporal discretization. The interpolation of moving Kriging technique is then used to approximate the space derivative, yielding a meshless numerical formulation. We conclude with some numerical experiments that validate the theoretical findings.Mostafa AbbaszadehMehdi DehghanMahmoud A. ZakyAhmed S. HendyHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Mostafa Abbaszadeh Mehdi Dehghan Mahmoud A. Zaky Ahmed S. Hendy Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation
description	A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with this goal, the drift term and the time Caputo fractional derivative are discretized by a finite difference approximation. The energy method is used to investigate the rate of convergence and unconditional stability of the temporal discretization. The interpolation of moving Kriging technique is then used to approximate the space derivative, yielding a meshless numerical formulation. We conclude with some numerical experiments that validate the theoretical findings.
format	article
author	Mostafa Abbaszadeh Mehdi Dehghan Mahmoud A. Zaky Ahmed S. Hendy
author_facet	Mostafa Abbaszadeh Mehdi Dehghan Mahmoud A. Zaky Ahmed S. Hendy
author_sort	Mostafa Abbaszadeh
title	Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation
title_short	Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation
title_full	Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation
title_fullStr	Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation
title_full_unstemmed	Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation
title_sort	interpolating stabilized element free galerkin method for neutral delay fractional damped diffusion-wave equation
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/bbc975c49e31494db226ba119ccf4e8f
work_keys_str_mv	AT mostafaabbaszadeh interpolatingstabilizedelementfreegalerkinmethodforneutraldelayfractionaldampeddiffusionwaveequation AT mehdidehghan interpolatingstabilizedelementfreegalerkinmethodforneutraldelayfractionaldampeddiffusionwaveequation AT mahmoudazaky interpolatingstabilizedelementfreegalerkinmethodforneutraldelayfractionaldampeddiffusionwaveequation AT ahmedshendy interpolatingstabilizedelementfreegalerkinmethodforneutraldelayfractionaldampeddiffusionwaveequation
_version_	1718407731306561536

Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation

Ejemplares similares