ABSTRACT
In this paper, we deal with the second-order accurate homogeneous (non-hybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation. It is shown that the method displays uniform convergence of on a special non-uniform mesh, where N is the mesh parameter. Numerical results are included to verify the theoretical estimates.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Ömer Yapman http://orcid.org/0000-0003-3117-2932
Gabil M. Amiraliyev http://orcid.org/0000-0001-6585-7353