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5 Results Found

  • Article
  • Open Access
4 Citations
2,300 Views
15 Pages

13 August 2022

This paper covers the construction and research of a scheme to solve the problem with nonlinear dispersion wave equations, described by the model Korteweg–de Vries equation. The article proposes approximating the equation based on improved &ldq...

(This article belongs to the Special Issue Improved Iterative Methods for the Solution Grid Equations: Theory and Application)
  • Article
  • Open Access
13 Citations
3,250 Views
16 Pages

25 November 2021

Increased influence of abiotic and anthropogenic factors on the ecological state of coastal systems leads to uncontrollable changes in the overall ecosystem. This paper considers the crucial problem of studying the effect of an increase in the water&...

(This article belongs to the Special Issue Improved Iterative Methods for the Solution Grid Equations: Theory and Application)
  • Article
  • Open Access
1 Citations
2,548 Views
17 Pages

Mathematical Model of Suspended Particles Transport in the Estuary Area, Taking into Account the Aquatic Environment Movement

  • Alexander Sukhinov,
  • Alexander Chistyakov,
  • Inna Kuznetsova,
  • Yulia Belova and
  • Alla Nikitina

11 August 2022

A large amount of contaminants enter marine systems with river runoff, so the purpose of the study is to model the transport of suspended particles in the estuary area. To describe hydrodynamic and hydrophysical processes, the mathematical model of t...

(This article belongs to the Special Issue Improved Iterative Methods for the Solution Grid Equations: Theory and Application)
  • Article
  • Open Access
6 Citations
2,254 Views
21 Pages

Development and Research of a Modified Upwind Leapfrog Scheme for Solving Transport Problems

  • Alexander Sukhinov,
  • Alexander Chistyakov,
  • Inna Kuznetsova,
  • Yulia Belova and
  • Elena Rahimbaeva

29 September 2022

Modeling complex hydrodynamic processes in coastal systems is an important problem of mathematical modeling that cannot be solved analytically. The approximation of convective terms is difficult from the point of view of error reduction. This paper p...

(This article belongs to the Special Issue Improved Iterative Methods for the Solution Grid Equations: Theory and Application)
  • Article
  • Open Access
6 Citations
2,630 Views
18 Pages

Solving Hydrodynamic Problems Based on a Modified Upwind Leapfrog Scheme in Areas with Complex Geometry

  • Alexander Sukhinov,
  • Alexander Chistyakov,
  • Inna Kuznetsova,
  • Yulia Belova and
  • Elena Rahimbaeva

7 September 2022

In recent years, the number of adverse and dangerous natural and anthropogenic phenomena has increased in coastal zones around the world. The development of mathematical modeling methods allows us to increase the accuracy of the study of hydrodynamic...

(This article belongs to the Special Issue Improved Iterative Methods for the Solution Grid Equations: Theory and Application)