MMN-2424
On the Volterra Delay-Integro-Differential equation with layer behavior and its numerical solution
Gabil M. Amiraliyev; Omer Yapman;Abstract
In this paper, we analyze the convergence of the fitted mesh method applied to singularly perturbed Volterra delay-integro-differential equation. Our mesh comprises a special nonuniform mesh on the first subinterval and uniform mesh on another part. Error estimates are obtained using difference analogue of Gronwall's inequality with delay. A numerical test that confirms the theoretical results is presented.
Vol. 20 (2019), No. 1, pp. 75-87
DOI: 10.18514/MMN.2019.2424