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An Efficient Numerical Scheme on Adaptive Mesh for Solving Singularly Perturbed Quasilinear Boundary Value Problems

dc.authorscopusid 56043249200
dc.authorscopusid 57859778200
dc.authorscopusid 57221502698
dc.authorwosid Duru, Hakkı/Aac-8449-2019
dc.contributor.author Duru, Hakki
dc.contributor.author Demirbas, Mutlu
dc.contributor.author Gunes, Baransel
dc.date.accessioned 2025-05-10T16:58:23Z
dc.date.available 2025-05-10T16:58:23Z
dc.date.issued 2024
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Duru, Hakki; Demirbas, Mutlu; Gunes, Baransel] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkiye en_US
dc.description.abstract This paper investigates the singularly perturbed quasilinear boundary value problem by numerically. Initially, some features of the analytical solution of the presented problem are given. Then, by using quasilinearization technique and interpolating quadrature formulas, the finite difference scheme is constructed on Bakhvalov-type mesh. The convergence estimations of the numerical scheme are provided and three examples are solved to demonstrate the efficiency of the suggested method. The main contribution of this paper is to ensure a uniform finite difference scheme for quasilinear problems with layer behavior. en_US
dc.description.woscitationindex Emerging Sources Citation Index
dc.identifier.endpage 34 en_US
dc.identifier.issn 2244-8659
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-85205098937
dc.identifier.scopusquality Q4
dc.identifier.startpage 11 en_US
dc.identifier.uri https://hdl.handle.net/20.500.14720/4250
dc.identifier.volume 12 en_US
dc.identifier.wos WOS:001327543600002
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Univ Simon Bolivar en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Bakhvalov-Type Mesh en_US
dc.subject Boundary Value Problem en_US
dc.subject Difference Scheme en_US
dc.subject Error Estimate en_US
dc.subject Singular Perturbation en_US
dc.title An Efficient Numerical Scheme on Adaptive Mesh for Solving Singularly Perturbed Quasilinear Boundary Value Problems en_US
dc.type Article en_US

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