Gunes, BaranselCakir, Musa2025-05-102025-05-1020240041-59951573-937610.1007/s11253-024-02312-z2-s2.0-85200049766https://doi.org/10.1007/s11253-024-02312-zhttps://hdl.handle.net/20.500.14720/10823We consider a novel numerical approach for solving boundary-value problems for the second-order Volterra-Fredholm integrodifferential equation with layer behavior and an integral boundary condition. A finite-difference scheme is proposed on suitable Shishkin-type mesh to obtain an approximate solution of the presented problem. It is proved that the method is first-order convergent in the discrete maximum norm. Two numerical examples are included to show the efficiency of the method.eninfo:eu-repo/semantics/closedAccessArticleQ4Q3WOS:001290150800012