Current Problems in Applied Mathematics and Computer Science and Systems

Modeling of the potential dependence on the permittivity at the metal - dielectric medium interface.- Difference method for solving the Dirichlet problem for a multidimensional integro-differential equation of convection-diffusion.- The problem of restoring the unit of approximation in the model for studying functional dependence from approximate data.- RNS Reverse conversion algorithm and parity detection for the wide arbitrary moduli set.- Anomalous solute transport in an inhomogeneous porous medium taking into account mass transfer.- Determination of relaxation and flow coefficients during filtration of a homogeneous liquid in fractured-porous media.- Solution of the anomalous filtration problem in two-dimensional porous media.- On calculating the hyperbolic parameter of a two-dimensional lattice of linear comparison solutions.- Numerical solution of anomalous solute transport in a two-zone fractal porous medium.- Initial-boundary value problems for the loaded Hallaire equation withGerasimov-Caputo fractional derivatives of different orders.

Anatoly Alikhanov has obtained his Ph.D. in Physical and Mathematical Sciences and is Vice-Rector for Scientific and Research work of the North Caucasus Federal University. He is the Head of the Regional Scientific and Educational Mathematical Center "North Caucasian Center for Mathematical Research." Earlier, he worked as Visiting Member of the dissertation council at Southeast University, Department of Mathematics, Nanjing, China. In 2016, he was invited for an internship in the field of numerical methods for solving fractional differential equations at the Nanjing University of China. . Alikhanov is Member of the Editor Board of the Fractional Calculus and Applied Analysis Journal and Reviewer of over 30 reputable scientific journals in computational mathematics.

Pavel Lyakhov graduated in mathematics in Stavropol State University, in 2009, where he also received the Ph.D. degree in computer science, in 2012. He has been working at North-CaucasusFederal University, since 2012. He is currently the Head of the Department of Mathematical Modeling, North-Caucasus Federal University. His research interests include high-performance computing, quantum computing, residue number systems, digital signal processing, image processing and machine learning.

Irina Samoylenko, PhD, Associate Professor at Informational Systems Department, Stavropol State Agrarian University, Russia. She received M.S. degree in Applied Mathematics and Informatics, PhD in System Analysis, Control and Processing of Information in North-Caucasus Federal University. Irina is a researcher in North-Caucasus Centre for Mathematical Research, North-Caucasus Federal University. She is a member of Association of Scientific Editors and Publishers, Russia. Her research interests include wireless sensor networks, IoT, optimization tasks and mathematical modeling.