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A New Numerical Scheme for Singularly Perturbed Reaction-Diffusion Problems

dc.authorid Cakir, Musa/0000-0002-1979-570X
dc.authorid Temel, Zelal/0000-0002-7166-4635
dc.authorscopusid 58307687500
dc.authorscopusid 22133512500
dc.authorwosid Temel, Zelal/Jxm-8236-2024
dc.contributor.author Temel, Zelal
dc.contributor.author Cakir, Musa
dc.date.accessioned 2025-05-10T17:20:26Z
dc.date.available 2025-05-10T17:20:26Z
dc.date.issued 2023
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Temel, Zelal; Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye en_US
dc.description Cakir, Musa/0000-0002-1979-570X; Temel, Zelal/0000-0002-7166-4635 en_US
dc.description.abstract This study is related to a novel numerical technique for solving the singularly perturbed reaction -diffusion boundary value problems. First, explicit boundaries for the solution of the problem are established. Then, a finite difference scheme is established on a uniform mesh supported by the method of integral identities using the remainder term in integral form and the exponential rules with weight. The uniform convergence and stability of these schemes are investigated concerning the perturbation parameter in the discrete maximum norm. At last, the numerical results that provide theoretical results are presented. en_US
dc.description.woscitationindex Emerging Sources Citation Index
dc.identifier.doi 10.35378/gujs.829602
dc.identifier.endpage 805 en_US
dc.identifier.issn 2147-1762
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-85161465883
dc.identifier.scopusquality Q3
dc.identifier.startpage 792 en_US
dc.identifier.uri https://doi.org/10.35378/gujs.829602
dc.identifier.uri https://hdl.handle.net/20.500.14720/10102
dc.identifier.volume 36 en_US
dc.identifier.wos WOS:001008697000001
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Gazi Univ 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 Singular Perturbation en_US
dc.subject Reaction-Diffusion en_US
dc.subject Uniform Mesh en_US
dc.subject Boundary Layer en_US
dc.subject Numerical Solution en_US
dc.title A New Numerical Scheme for Singularly Perturbed Reaction-Diffusion Problems en_US
dc.type Article en_US

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