A5021498300- Differential Equations and Boundary Problems
- Differential Equations and Numerical Methods
- Nonlinear Waves and Solitons
- Aquatic and Environmental Studies
- Enhanced Oil Recovery Techniques
- advanced mathematical theories
- Stability and Controllability of Differential Equations
- Water Resources and Management
- Drilling and Well Engineering
- Hydraulic Fracturing and Reservoir Analysis
- Numerical methods in inverse problems
- Computational Fluid Dynamics and Aerodynamics
- Engineering and Agricultural Innovations
Abai Kazakh National Pedagogical University
2021-2024
Institute of Information and Computational Technologies
2020-2023
In this paper, we introduce a numerical integration method for hyperbolic systems problems known as the splitting method, which serves an effective tool solving complex multidimensional in mathematical physics. The exponential stability of upwind explicit–implicit difference scheme split into directions is established mixed problem linear two-dimensional symmetric t-hyperbolic system with variable coefficients and lower-order terms. It noteworthy that there are control functions dissipative...
In hydrodynamics (hydraulics), there are numerous approaches to solving the problem of water flow dynamics control in river beds and channels, while results each methods differ, estimates their reliability do not always exist. The shallow equation (or Saint-Venant's equations one-dimensional form) is often used by hydraulic engineers practice. Its apparent simplicity ability describe well enough behavior rivers flows make it a useful tool for many applications, such as regulation...
The study of fluid flow in porous media, differing from traditional pipe is crucial for developing efficient methods oil extraction and minerals, considering the challenges associated with ambiguous flows diverse structures. This paper addresses complexity investigating a phenomenon significantly distinct movement pipes. Emphasis placed on absence clearly defined tubes complicating measurements, analysis. introduces new approach incorporating both analytical numerical methods, applied to...