Amirali, IlhameDurmaz, Muhammet EnesAmiraliyev, Gabil M.2025-10-112025-10-1120241660-54461660-5454https://doi.org/10.1007/s00009-024-02746-6https://hdl.handle.net/20.500.12684/22106The purpose of this study is to present a monotone type numerical method for solving Fredholm integro-differential equations. To solve this problem numerically, we have established a finite difference scheme on a uniform mesh using the composite trapezoidal formula. Furthermore, it has been proven that this presented method is second-order convergent in the discrete maximum norm. To support the theoretical basis of this proposed approach, numerical results are presented.en10.1007/s00009-024-02746-6info:eu-repo/semantics/closedAccessFredholm integro-differential equationfinite difference methoderror estimateuniform convergenceArticle2172-s2.0-85206947377WOS:001335070200001Q2Q1