2026-10-19T01:05:34Zhttps://ebyu-rdlopen.rawdatalibrary.net/oai/request

oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/124632026-10-18T20:39:18Zopenairedrivercom_ebyu_10000col_ebyu_10001

An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equationDurmaz, Muhammet EnesYapman, ÖmerKudu, MustafaAmiraliyev, Gabil M.finite difference methodsintegro-differential equationShishkin meshsingular perturbationuniform convergenceThe scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. The finite difference scheme is constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. The recommended method is second order convergent in the discrete maximum norm. Numerical results illustrating the preciseness and computationally attractiveness of the proposed method are presented. © 2023, Hacettepe University. All rights reserved.Hacettepe University2023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12463https://doi.org/10.15672/hujms.10505052651-477XenHacettepe Journal of Mathematics and Statisticsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12463