A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition

Kudu, Mustafa

doi:10.1186/s13662-018-1620-0

A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition

Özet

We consider a uniform finite difference method on a Bakhvalov mesh to solve a quasilinear first order parameterized singularly perturbed problem with integral boundary conditions. Uniform first order error estimates in the discrete maximum norm have been established. Numerical results that demonstrate the sharpness of our theoretical analysis are presented. © 2018, The Author(s).

Anahtar Kelimeler

Bakhvalov mesh Finite difference scheme Integral boundary condition Parameterized problem Singular perturbation Uniform convergence

RDL Kalıcı Bağlantı (PID)

https://rdlopen.rawdatalibrary.net/r/ebyu/14424Resmi atıflarda kullanılan kalıcı adres

DOI

https://doi.org/10.1186/s13662-018-1620-0Yayıncı resmi DOI adresi

Tam Kayıt

Alan	Değer	Dil
dc.contributor.author	Kudu, Mustafa
dc.date.accessioned	2026-10-18T20:29:13.307858652Z
dc.date.available	2026-10-18T20:29:13.307858652Z
dc.date.issued	2018
dc.description.abstract	We consider a uniform finite difference method on a Bakhvalov mesh to solve a quasilinear first order parameterized singularly perturbed problem with integral boundary conditions. Uniform first order error estimates in the discrete maximum norm have been established. Numerical results that demonstrate the sharpness of our theoretical analysis are presented. © 2018, The Author(s).
dc.identifier.doi	10.1186/s13662-018-1620-0
dc.identifier.issn	1687-1839
dc.identifier.issue	1
dc.identifier.scopus	2-s2.0-85046631299
dc.identifier.startpage	170
dc.identifier.uri	https://rdlopen.rawdatalibrary.net/r/ebyu/14424
dc.identifier.volume	2018
dc.language.iso	en
dc.publisher	Springer International Publishing
dc.relation.ispartof	Advances in Difference Equations
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Bakhvalov mesh
dc.subject	Finite difference scheme
dc.subject	Integral boundary condition
dc.subject	Parameterized problem
dc.subject	Singular perturbation
dc.subject	Uniform convergence
dc.title	A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition
dc.type	Review Article
dspace.entity.type	Publication
rdl.citation.scopus	26
rdl.oa.status	gold
rdl.source.index	SCOPUS