$Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons$
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Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons

The applications of fractional partial differential equations (PDEs) in diverse disciplines of science and technology have caught the attention of many researchers. This article concerned with the approximate numerical solutions of three-dimensional two- and three-term time fractional PDE models uti...

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Autores principales:	Fuzhang Wang, Imtiaz Ahmad, Hijaz Ahmad, M.D. Alsulami, K.S. Alimgeer, Clemente Cesarano, Taher A. Nofal
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Radial basis function Meshless method Time fractional Sobolev equation Caputo derivative Irregular domain Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/850d5c3cdfad4158a913f9d0c6d4f1da
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spelling	oai:doaj.org-article:850d5c3cdfad4158a913f9d0c6d4f1da2021-11-18T04:43:59ZMeshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons1018-364710.1016/j.jksus.2021.101604https://doaj.org/article/850d5c3cdfad4158a913f9d0c6d4f1da2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1018364721002664https://doaj.org/toc/1018-3647The applications of fractional partial differential equations (PDEs) in diverse disciplines of science and technology have caught the attention of many researchers. This article concerned with the approximate numerical solutions of three-dimensional two- and three-term time fractional PDE models utilizing an accurate, and computationally attractive local meshless technique. Due to their tremendous advantages like ease of applicability in higher dimensions in both regular and irregular domains, the interest in meshless techniques is increasing. Test problems are considered to assess the reliability and accuracy of the proposed technique.Fuzhang WangImtiaz AhmadHijaz AhmadM.D. AlsulamiK.S. AlimgeerClemente CesaranoTaher A. NofalElsevierarticleRadial basis functionMeshless methodTime fractional Sobolev equationCaputo derivativeIrregular domainScience (General)Q1-390ENJournal of King Saud University: Science, Vol 33, Iss 8, Pp 101604- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Radial basis function Meshless method Time fractional Sobolev equation Caputo derivative Irregular domain Science (General) Q1-390
spellingShingle	Radial basis function Meshless method Time fractional Sobolev equation Caputo derivative Irregular domain Science (General) Q1-390 Fuzhang Wang Imtiaz Ahmad Hijaz Ahmad M.D. Alsulami K.S. Alimgeer Clemente Cesarano Taher A. Nofal Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons
description	The applications of fractional partial differential equations (PDEs) in diverse disciplines of science and technology have caught the attention of many researchers. This article concerned with the approximate numerical solutions of three-dimensional two- and three-term time fractional PDE models utilizing an accurate, and computationally attractive local meshless technique. Due to their tremendous advantages like ease of applicability in higher dimensions in both regular and irregular domains, the interest in meshless techniques is increasing. Test problems are considered to assess the reliability and accuracy of the proposed technique.
format	article
author	Fuzhang Wang Imtiaz Ahmad Hijaz Ahmad M.D. Alsulami K.S. Alimgeer Clemente Cesarano Taher A. Nofal
author_facet	Fuzhang Wang Imtiaz Ahmad Hijaz Ahmad M.D. Alsulami K.S. Alimgeer Clemente Cesarano Taher A. Nofal
author_sort	Fuzhang Wang
title	Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons
title_short	Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons
title_full	Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons
title_fullStr	Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons
title_full_unstemmed	Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons
title_sort	meshless method based on rbfs for solving three-dimensional multi-term time fractional pdes arising in engineering phenomenons
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/850d5c3cdfad4158a913f9d0c6d4f1da
work_keys_str_mv	AT fuzhangwang meshlessmethodbasedonrbfsforsolvingthreedimensionalmultitermtimefractionalpdesarisinginengineeringphenomenons AT imtiazahmad meshlessmethodbasedonrbfsforsolvingthreedimensionalmultitermtimefractionalpdesarisinginengineeringphenomenons AT hijazahmad meshlessmethodbasedonrbfsforsolvingthreedimensionalmultitermtimefractionalpdesarisinginengineeringphenomenons AT mdalsulami meshlessmethodbasedonrbfsforsolvingthreedimensionalmultitermtimefractionalpdesarisinginengineeringphenomenons AT ksalimgeer meshlessmethodbasedonrbfsforsolvingthreedimensionalmultitermtimefractionalpdesarisinginengineeringphenomenons AT clementecesarano meshlessmethodbasedonrbfsforsolvingthreedimensionalmultitermtimefractionalpdesarisinginengineeringphenomenons AT taheranofal meshlessmethodbasedonrbfsforsolvingthreedimensionalmultitermtimefractionalpdesarisinginengineeringphenomenons
_version_	1718425112186716160

Meshless method based on RBFs for solving three-dimensional multi-term time fractional PDEs arising in engineering phenomenons

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