Ömer Yapman

Ömer Yapman
Erzincan University

Doctor of Philosophy

About

6
Publications
524
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48
Citations
Additional affiliations
January 2015 - present
Erzincan University
Position
  • Research Assistant
Education
December 2015 - February 2020
Erzincan University
Field of study
  • Mathematics
September 2013 - June 2014
University of Leicester
Field of study
  • Financial Mathematics & Computation
September 2005 - June 2009
Gazi University
Field of study
  • Mathematics

Publications

Publications (6)
Article
A linear Volterra delay-integro-differential equation with a singular perturbation parameter ε is considered. The problem is discretized using exponentially fitted schemes on the Shishkin type meshes. It is proved that the numerical approximations generated by this method are O(N−2lnN) convergent in the discrete maximum norm, where N is the mesh pa...
Article
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 O(N−2ln⁡N) on a special nonuniform mesh, where N is the mesh parameter. Numerical results are include...
Article
Full-text available
This study is concerned with the finite-difference solution of singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. The method is based on the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder te...
Article
In this paper, the initial value problem for a quasilinear singularly perturbed delay Volterra integro-differential equation was considered. By the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder term in integral form, a fitted difference scheme is constructe...

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