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This is a Quantitative Study study.

October 2, 2025COMPUTATIONAL MATHEMATICS AND INFORMATION TECHNOLOGIESOpen Access

Approximation of Boundary Conditions of the Second and Third Types in Convection–Diffusion Equations with Applications to Environmental Hydrophysics

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Authors

АСА. И. СухиновInstitute of Service and Entrepreneurship of DGTU VSV. V. Sidoryakina

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Implication

Finite-difference schemes enhance boundary condition accuracy in convection-diffusion equations, indicating improved transport modeling of suspended matter.

Key Points

The numerical solution achieved a convergence rate of O (τ + h 2 ) for models involving suspended matter transport in hydrophysics.
Approximations for second- and third-type boundary conditions improve the finite-difference scheme's accuracy and reliability.
The study focuses on a three-dimensional finite-difference scheme, addressing challenges in approximating boundary conditions for parabolic-type equations.
This research supports future analyses on finite-difference schemes, specifically related to constraints like the grid Peclet number.

Cite This Study

Сухинов et al. (2025) studied this question.

synapsesocial.com/papers/68de5da283cbc991d0a207fc https://doi.org/10.23947/2587-8999-2025-9-3-16-29

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Implication

Finite-difference schemes enhance boundary condition accuracy in convection-diffusion equations, indicating improved transport modeling of suspended matter.

Approximation of Boundary Conditions of the Second and Third Types in Convection–Diffusion Equations with Applications to Environmental Hydrophysics

Discussion

Member takes

Implication

Key Points

Cite This Study

Approximation of Boundary Conditions of the Second and Third Types in Convection–Diffusion Equations with Applications to Environmental Hydrophysics

Discussion

Member takes

Implication

Key Points

Cite This Study

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