Kachiashvili, K.J. and Melikdzhanian, D.I. (2006) Parameter Optimization Algorithms of Difference Calculation Schemes for Improving the Solution Accuracy of Diffusion Equations Describing the Pollutants Transport in Rivers. International Journal Applied Mathematics and Computation, 183, 787-803.
https://doi.org/10.1016/j.amc.2006.06.027

has been cited by the following article:

• TITLE: The Use of Imitation Models at Developing and Introducing Information-Control Systems

  AUTHORS: Kartlos Joseph Kachiashvili, Vakhtang Varlam Kvaratskhelia

  KEYWORDS: Environmental Water Pollution, Imitation Model, Pollution Source, Pollution Condition, Deterministic Model, Stochastic Model

  JOURNAL NAME: Journal of Software Engineering and Applications, Vol.15 No.7, July 25, 2022

  ABSTRACT: Imitation models for computing the environmental water pollution level depending on the intensity of pollution sources created by the author over the years are presented. For this purpose, an additive model of a non-stationary random process is considered. For the modeling of its components, models that consider only dilution and self-purification processes are proposed for waste water and three-dimensional turbulent diffusion equations for river waters, and multidimensional Gaussian Markov series are proposed for modeling the random component. The purpose, the capabilities and the peculiarities of such imitation models are discussed taking into account the peculiarities of the water objects. The modular principle of creating imitation models is proposed to facilitate their development and use.