UNIFORM NUMERICAL APPROXIMATION FOR PARAMETER DEPENDENT SINGULARLY PERTURBED PROBLEM WITH INTEGRAL BOUNDARY CONDITION
dc.contributor.author | Kudu, Mustafa | |
dc.contributor.author | Amirali, İlhame | |
dc.contributor.author | Amiraliyev, Gabil M. | |
dc.date.accessioned | 2020-04-30T23:46:51Z | |
dc.date.available | 2020-04-30T23:46:51Z | |
dc.date.issued | 2018 | |
dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description | WOS: 000441460300026 | en_US |
dc.description.abstract | In this paper, a parameter-uniform numerical method for a parameterized singularly perturbed ordinary differential equation containing integral boundary condition is studied. Asymptotic estimates on the solution and its derivatives are derived. A numerical algorithm based on upwind finite difference operator and an appropriate piecewise uniform mesh is constructed. Parameter-uniform error estimate for the numerical solution is established. Numerical results are presented, which illustrate the theoretical results. | en_US |
dc.identifier.doi | 10.18514/MMN.2018.2455 | en_US |
dc.identifier.endpage | 353 | en_US |
dc.identifier.issn | 1787-2405 | |
dc.identifier.issn | 1787-2413 | |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 337 | en_US |
dc.identifier.uri | https://doi.org/10.18514/MMN.2018.2455 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12684/5306 | |
dc.identifier.volume | 19 | en_US |
dc.identifier.wos | WOS:000441460300026 | en_US |
dc.identifier.wosquality | Q4 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.language.iso | en | en_US |
dc.publisher | Univ Miskolc Inst Math | en_US |
dc.relation.ispartof | Miskolc Mathematical Notes | 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 | parameterized problem | en_US |
dc.subject | singular perturbation | en_US |
dc.subject | uniform convergence | en_US |
dc.subject | finite difference scheme | en_US |
dc.subject | Shiskin mesh | en_US |
dc.subject | integral boundary condition | en_US |
dc.title | UNIFORM NUMERICAL APPROXIMATION FOR PARAMETER DEPENDENT SINGULARLY PERTURBED PROBLEM WITH INTEGRAL BOUNDARY CONDITION | en_US |
dc.type | Article | en_US |
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