# Rafayel Barkhudaryan's Publications (Full profile)

### Paper

- System of variational inequalities with interconnected obstacles, Applicable Analysis, pp. 1-25, (2020)
- Numerical treatment to a non-local parabolic free boundary problem arising in financial bubbles, Bulletin of the Iranian Mathematical Society, 45, (1), pp. 59-73, (2019)
- Finite difference scheme for a general class of the spatial segregation of reaction-diffusion systems with two population densities, Vestnik kazanskogo gosudarstvennogo energeticheskogo universiteта, 35, (3), pp. 28-38, (2017)
- Iterative scheme for an elliptic non-local free boundary problem, Applicable Analysis, 95, (12), pp. 2794-2806, (2016)
- A Numerical Approach for a General Class of the Spatial Segregation of Reaction-Diffusion Systems Arising in Population Dynamics, Computers and Mathematics with Applications, 72, (11), pp. 2823-2838, (2016)
- Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method, Armenian Journal of Mathematics, 7, (2), pp. 164-182, (2015)
- Arshag Hajian: By the 85th Anniversary, Armenian Journal of Mathematics, 7, (2), pp. 80-84, (2015)
- On the Gibbs phenomenon for expansions by eigenfunctions of the boundary problem for Dirac system, Izvestiya NAN Armenii. Matematika, 48, (4), pp. 3-12, (2013)
- Finite difference method for two-phase obstacle problem, AIP Conference Proceedings, 1558, (1), pp. 2249-2252, (2013)
- An error estimate for the finite difference scheme for one-phase obstacle problem, Proceedings of NAS RA - Mathematics, 46, (3), pp. 3-16, (2011)
- Finite Difference Scheme for Two-Phase Obstacle Problem, Reports of NAS RA, 111, (3), pp. 224-231, (2011)
- Convergence acceleration of eigenfunction expansions of the one-dimensional Dirac system, AIP Conference Proceedings, 936, pp. 86–89, (2007)
- On the convergence of some quasipolynomial approximation, Reports of NAS RA (in Russian), 107, (1), pp. 13-19, (2007)
- Asymptotic behavior of Eckhoff's method for Fourier series convergence acceleration, Analysis in Theory and Applications, 23, (3), pp. 228-242, (2007)
- Convergence acceleration of decomposition by eigenfunctions of a model boundary value problem with a discontinuous coefficient, Reports of NAS RA (in Russian), 106, (1), pp. 5-12, (2006)
- Accelerating convergence of Fourier series, Journal of Contemporary Math. Anal., 41, (2), pp. 42-55, (2006)
- Accelerating convergence of expansions by eigenfunctions of Dirac system, Mathematics in higher school, 2, (3), pp. 54-62, (2006)

### Conference Paper

- On a non-local parabolic free boundary problem arising in a theory of financial bubbles, Conference dedicated to the 100th anniversary of Mkhitar Djrbashyan, pp. 18-19, (2018)
- Convergence Acceleration of Trigonometric Expansions, Harmonic Analysis and Approximations - VII, pp. 27-28, (2018)
- A general class of finite difference schemes arising in numerical analysis of Reaction-diffusion systems, Russian-Armenian workshop on mathematical physics, complex analysis and related topics, (2018)
- Non-local obstacle type problem arising in the theory of financial mathematics, Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VI, pp. 14-15, (2016)
- Finite Difference Scheme for the Two-Phase Obstacle Problem, Harmonic Analysis and Approximations, V, pp. 22, (2011)
- Finite Difference Scheme for Two-Phase Obstacle Problem, Dynamic systems, nonlinear analysis and their applications, pp. 9-11, (2011)
- Iterative Scheme for Elliptic Optimal Multiple Switching Problem, Third Russian-Armenian workshop on mathematical physics, complex analysis and related topics, pp. 41-43, (2010)
- Gibbs phenomenon for the one-dimensional Dirac system, International Conference, Harmonic Analysis and Approximations, IV, pp. 23-25, (2008)
- Generalization of polynomial method for expansion by Dirac's system eigenfunctions, Proceedings of the workshop "Mathematical Physics and Adjacent Problems", 24-30 September 2006, pp. 24, (2006)
- On a Parallel Algorithm for Integral Equations, Proceedings of the CSIT-2005 conference "Computer Science and Information Technologies", September 19-23, pp. 457-460, (2005)

### Thesis

- Convergence acceleration of expansions by eigenfunctions of some boundary value problems, Candidate dissertation (manuscript), Yerevan, pp. 1-77, (2007)
- Convergence acceleration of expansions by eigenfunctions of some boundary value problems, (Auto-reference of Candidate dissertation). Yerevan, pp. 1-16, (2007)