A new application of the Legendre reproducing kernel method

Foroutan, Mohammad Reza; Hashemi, Mir Sajjad; Gholizadeh, Leila; Akgül, Ali; Jarad, Fahd

dc.contributor.author	Foroutan, Mohammad Reza
dc.contributor.author	Hashemi, Mir Sajjad
dc.contributor.author	Gholizadeh, Leila
dc.contributor.author	Akgül, Ali
dc.contributor.author	Jarad, Fahd
dc.date.accessioned	2024-02-09T11:41:05Z
dc.date.available	2024-02-09T11:41:05Z
dc.date.issued	2022
dc.identifier.citation	Foroutan, Mohammad Reza;...et.al. (2022). "A new application of the Legendre reproducing kernel method", AIMS Mathematics, Vol.7, No.6, pp.10671-10670.	tr_TR
dc.identifier.issn	24736988
dc.identifier.uri	http://hdl.handle.net/20.500.12416/7146
dc.description.abstract	n this work, we apply the reproducing kernel method to coupled system of second and fourth order boundary value problems. We construct a novel algorithm to acquire the numerical results of the nonlinear boundary-value problems. We also use the Legendre polynomials. Additionally, we discuss the convergence analysis and error estimates. We demonstrate the numerical simulations to prove the efficiency of the presented method.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.3934/math.2022594	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Approximate Solution	tr_TR
dc.subject	Boundary Value Problem	tr_TR
dc.subject	Convergence Analysis	tr_TR
dc.subject	Legendre Polynomials	tr_TR
dc.subject	Reproducing Kernel Functions	tr_TR
dc.title	A new application of the Legendre reproducing kernel method	tr_TR
dc.type	article	tr_TR
dc.relation.journal	AIMS Mathematics	tr_TR
dc.contributor.authorID	234808	tr_TR
dc.identifier.volume	7	tr_TR
dc.identifier.issue	6	tr_TR
dc.identifier.startpage	10651	tr_TR
dc.identifier.endpage	10670	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü	tr_TR