Selecting a Suitable Initial Approximation Of Multi-Component Cross-Diffusion Systems

Ruzibaev, Ortik; Muhamediyeva, Dilnoz; Ismailov, I. G.

doi:10.1109/icisct52966.2021.9670129

Cited by 1 publication

(1 citation statement)

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“…In the article [13] devoted to these topics, it is shown how to apply the iterative method for inhomogeneous (sourceprovided) heat transfer processes with double nonlinear convective migration to obtain numerical solutions to equations supplied by the boundary problem and boundary problems. In [12,15], the paper summarizes the findings of investigations on the localization, heat absorption, and heat conduction effects that are typical of nonlinear heat transfer processes.…”

Section: Intrоductiоnmentioning

confidence: 99%

Modeling of nonequilibrium cross-diffusion systems

Mamatov

Nurumova

2022

J. Phys.: Conf. Ser.

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In this research, we investigate the modeling of cross-diffusion systems that are not in equilibrium. For a particular equation, it is shown that the parameter values exist and have a numerical solution. A source describes the system of equations considered in this study as being based on the majority of physical processes, such as the cross-diffusion process in this system, thermal conductivity, and polytrophic filtration of gas and liquid in nonlinear media. Numerous partial solutions exist for these equations. The development of an integral self-similar solution is one of the most important approaches to analyzing the problem at hand. Initial construction of a system of self-similar equations using a nonlinear subtraction technique. The front for the equation of nonlinear heat generation with doubled energy was estimated, the localization process was observed, new effects were observed, an algorithm was constructed based on the obtained self-similar solution, a program code was developed in the programming language, and the process modeling was visualized.

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Section: Intrоductiоnmentioning

confidence: 99%