Avetik Arakelyan's Publications (Full profile)

Submitted Paper

  1. A. Arakelyan, R. Barkhudaryan, H. Shahgholian and M. Salehi, Numerical treatment to a non-local parabolic free boundary problem arising in financial bubbles, pp. 1-18, (2017)
  2. Avetik Arakelyan, Convergence of the finite difference scheme for a general class of the spatial segregation of reaction-diffusion systems, pp. 1-13, (2017)
  3. Avetik Arakelyan, Jyotshana V. Prajapat and Henrik Shahgholian, Two- and Multi-phase Quadrature surfaces, pp. 1-28, (2016)
  4. Avetik Arakelyan, On convergence of numerical algorithm of a class of the spatial segregation of reaction-diffusion system with two population densities, pp. 1-14, (2016)

Paper

  1. Avetik Arakelyan, Farid Bozorgnia, Uniqueness of the Solution to a Strongly Competing System, Electronic Journal of Differential Equations, 2017, (96), pp. 1-8, (2017)
  2. Avetik Arakelyan, Rafayel Barkhudaryan, 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)
  3. Avetik Arakelyan, Henrik Shahgholian, Multi-phase Quadrature domains and a related minimization problem, Potential Analysis, 45, (1), pp. 135-155, (2016)
  4. Avetik Arakelyan, Rafayel Barkhudaryan, Michael Poghosyan, Numerical solution of the Two-phase obstacle problem by finite difference method, Armenian Journal of Mathematics, 7, (2), pp. 15-33, (2015)
  5. Avetik Arakelyan, A finite difference method for two-phase parabolic obstacle-like problem, Armenian Journal of Mathematics, 7, (1), pp. 32-49, (2015)
  6. Avetik Arakelyan, Farid Bozorgnia, Numerical algorithms for a variational problem of the spatial segregation of reaction-diffusion systems, Applied Mathematics and Computation, 219, (17), pp. 8863-8875 , (2013)
  7. A.G. Arakelyan, R.H. Barkhudaryan, M.P. Poghosyan, Finite difference scheme for Two-phase obstacle problem , Reports of NAS of RA, 111, (3), pp. 224-231, (2011)
  8. Avetik Arakelyan, Rafayel Barkhudaryan, Michael Poghosyan, An error estimate for the finite difference scheme for one-phase obstacle problem, Journal of Contemporary Mathematical Analysis, 46, pp. 131-141, (2011)

Conference Paper

  1. Avetik Arakelyan, Two- and Multi-phase Quadrature domains, Stochastic and Analytic Methods in Mathematical Physics, pp. 12, (2016)
  2. Avetik Arakelyan, Numerical approximation for a variational problem of the spatial segregation of Reaction-diffusion system, Mathematics in Armenia: Advances and Perspectives, pp. 62, (2013)
  3. R. Barkhudaryan, A. Arakelyan and M. Poghosyan, Finite Difference Scheme for Two-Phase Obstacle Problem, Harmonic Analysis and Approximations, V, pp. 22, (2011)
  4. R. Barkhudaryan, A. Arakelyan and M. Poghosyan, Finite Difference Scheme for Two-Phase Obstacle Problem, Dynamic systems, nonlinear analysis and their applications, pp. 9-11, (2011)