Fully Legendre spectral collocation technique for stochastic heat equations

Abdelkawy, Mohamed A.; Ahmad, Hijaz; Jeelani, Mdi Begum; S. Alnahdi, Abeer

Fully Legendre spectral collocation technique for stochastic heat equations

dc.contributor.author	Abdelkawy, Mohamed A.
dc.contributor.author	Ahmad, Hijaz
dc.contributor.author	Jeelani, Mdi Begum
dc.contributor.author	S. Alnahdi, Abeer
dc.date.accessioned	2022-12-20T11:46:49Z
dc.date.available	2022-12-20T11:46:49Z
dc.date.issued	2021	en_US
dc.department	Rektörlük, Bilişim Teknolojileri Uygulama ve Araştırma Merkezi	en_US
dc.description.abstract	For the stochastic heat equation (SHE), a very accurate spectral method is considered. To solve the SHE, we suggest using a shifted Legendre Gauss–Lobatto collocation approach in combination with a shifted Legendre Gauss–Radau collocation technique. A comprehensive theoretical formulation is offered, together with numerical examples, to demonstrate the technique’s performance and competency. The scheme’s superiority in tackling the SHE is demonstrated.	en_US
dc.identifier.doi	10.1515/phys-2021-0073	en_US
dc.identifier.endpage	931	en_US
dc.identifier.issue	21	en_US
dc.identifier.scopus	2-s2.0-85124264425	en_US
dc.identifier.scopusquality	N/A	en_US
dc.identifier.startpage	921	en_US
dc.identifier.uri	https://hdl.handle.net/11467/5942
dc.identifier.uri	https://doi.org/10.1515/phys-2021-0073
dc.identifier.volume	19	en_US
dc.identifier.wos	WOS:000747992600002	en_US
dc.identifier.wosquality	Q3	en_US
dc.indekslendigikaynak	Web of Science	en_US
dc.indekslendigikaynak	Scopus	en_US
dc.language.iso	en	en_US
dc.publisher	De Gruyter	en_US
dc.relation.ispartof	Open Physics	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.subject	quadrature, stochastic heat equation, collocation method	en_US
dc.title	Fully Legendre spectral collocation technique for stochastic heat equations	en_US
dc.type	Article	en_US