Numerical solution of the two-phase obstacle problem by finite difference method A Arakelyan, R Barkhudaryan, M Poghosyan arXiv preprint arXiv:1407.0781, 2014 | 18 | 2014 |

Numerical algorithms for a variational problem of the spatial segregation of reaction–diffusion systems F Bozorgnia, A Arakelyan Applied Mathematics and Computation 219 (17), 8863-8875, 2013 | 13 | 2013 |

Uniqueness of limiting solution to a strongly competing system A Arakelyan, F Bozorgnia Texas State University, Department of Mathematics, 2017 | 10 | 2017 |

A finite difference method for two-phase parabolic obstacle-like problem A Arakelyan arXiv preprint arXiv:1111.6287, 2011 | 10 | 2011 |

Finite difference scheme for two-phase obstacle problem AG Arakelyan, RH Barkhudaryan, MP Poghosyan Dokl. Nats. Akad. Nauk Armen 111 (3), 224-231, 2011 | 10 | 2011 |

A numerical approach for a general class of the spatial segregation of reaction–diffusion systems arising in population dynamics A Arakelyan, R Barkhudaryan Computers & Mathematics with Applications 72 (11), 2823-2838, 2016 | 9 | 2016 |

Multi-phase quadrature domains and a related minimization problem A Arakelyan, H Shahgholian Potential Analysis 45 (1), 135-155, 2016 | 9 | 2016 |

Convergence of the finite difference scheme for a general class of the spatial segregation of reaction–diffusion systems A Arakelyan Computers & Mathematics with Applications 75 (12), 4232-4240, 2018 | 6 | 2018 |

An error estimate for the finite difference scheme for one-phase obstacle problem A Arakelyan, R Barkhudaryan, M Poghosyan Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences …, 2011 | 6 | 2011 |

Graph based semi-supervised learning using spatial segregation theory F Bozorgnia, M Fotouhi, A Arakelyan, A Elmoataz Journal of Computational Science 74, 102153, 2023 | 2 | 2023 |

Approximation of the second eigenvalue of the -Laplace operator in symmetric domains F Bozorgnia arXiv preprint arXiv:1907.13390, 2019 | 2 | 2019 |

Uniqueness of a solution to a general class of discrete system defined on connected graphs A Arakelyan, F Bozorgnia Nonlinear Analysis 239, 113439, 2024 | 1 | 2024 |

Numerical treatment to a non-local parabolic free boundary problem arising in financial bubbles A Arakelyan, R Barkhudaryan, H Shahgholian, M Salehi Bulletin of the Iranian Mathematical Society 45, 59-73, 2019 | 1 | 2019 |

Two-and multi-phase quadrature surfaces A Arakelyan, JV Prajapat, H Shahgholian arXiv preprint arXiv:1610.02637, 2016 | 1 | 2016 |

Investigating the stochastic spatial processes of destruction mechanics at penetration of bodies into media AG Arakelyan, AA Vantsyan НАЦИОНАЛЬНОГО ПОЛИТЕХНИЧЕСКОГО УНИВЕРСИТЕТА АРМЕНИИ, 19, 2015 | 1 | 2015 |

On convergence of numerical algorithm of a class of the spatial segregation of reaction-diffusion system with two population densities A Arakelyan arXiv preprint arXiv:1306.0707, 2013 | 1 | 2013 |

A general class of finite difference schemes arising in numerical analysis of Reaction-diffusion systems A Arakelyan, R Barkhudaryan | | 2018 |

On a general class of the finite difference schemes arising in Reaction-diffusion systems A Arakelyan, R Barkhudaryan SERGEY MERGELYAN, 17, 2018 | | 2018 |

Finite difference scheme for a general class of the spatial segregation of reaction-diffusion systems with two population densities A Avetik, B Rafayel, P Lusine Вестник Казанского государственного энергетического университета, 28-35, 2017 | | 2017 |

On the Uniqueness of the Solution to a Strongly Competing System A Arakelyan, F Bozorgnia arXiv preprint arXiv:1609.00986, 2016 | | 2016 |