Numerical algorithms for a variational problem of the spatial segregation of reaction-diffusion systems. - Farid Bozorgnia; Avetik Arakelyan (Appl. Math. Comput., 2013)

A numerical approach for a general class of the spatial segregation of reaction-diffusion systems arising in population dynamics. - Avetik Arakelyan; Rafayel Barkhudaryan (Comput. Math. Appl., 2016)

Convergence of the finite difference scheme for a general class of the spatial segregation of reaction-diffusion systems. - Avetik Arakelyan (Comput. Math. Appl., 2018)

Uniqueness of a solution to a general class of discrete system defined on connected graphs. - Avetik Arakelyan (CoRR, 2022)

Approximation of the second eigenvalue of the p-Laplace operator in symmetric domains. - Farid Bozorgnia; Avetik Arakelyan (J. Comput. Appl. Math., 2023)

Graph based semi-supervised learning using spatial segregation theory. - Farid Bozorgnia; Morteza Fotouhi; Avetik Arakelyan; Abderrahim Elmoataz (J. Comput. Sci., 2023)

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's. - Avetik Arakelyan; Rafayel Barkhudaryan (CoRR, 2025)