Stochastic Model of Heat Transfer in the Atmospheric Surface Layer

Zadorozhniy, V. G.; Nozhkin, V. S.; Семенов, Михаил Е.; Ulshin, Igor I.

doi:10.1134/s0965542520030173

Cited by 8 publications

(3 citation statements)

References 16 publications

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“…Considering that the problem is time-dependent, evaluating the solution process over refined meshes and for many hundreds or thousands of time steps can become a serious numerical burden. is can be a significant numerical challenge in two-dimensional problems and even more so in three dimensions [13][14][15][16]. Our paper mainly completes the investigations of [12][13][14][15][16][17][18], in the case of time-dependent diffusion problems.…”

Section: Introductionsupporting

confidence: 58%

A New Numerical Method to Solve Some ${PDE}_{s}$ in the Unit Ball and Comparison with the Finite Element and the Exact Solution

Malek

Ziti

2021

International Journal of Differential Equations

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In this paper, we give a new strategy to extend a numerical approximation method for two-dimensional reaction-diffusion problems. We present numerical results for this type of equations with a known analytical solution to qualify errors for the new method. We compare the results obtained using this approach to the standard finite element approach. The proposed method is adequate even with the singular right-hand side of type Dirac.

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Section: Introductionsupporting

confidence: 58%

A New Numerical Method to Solve Some ${PDE}_{s}$ in the Unit Ball and Comparison with the Finite Element and the Exact Solution

Malek

Ziti

2021

International Journal of Differential Equations

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“…Stochastic differential equations (SDEs) are a type of mathematical model used to describe the behavior of systems that are subject to randomness or unpredictability. SDEs has plenty of applications in different fields of computational science [17][18][19]. Contrary to ODEs, which depict the dynamics of deterministic systems, SDEs take into account the impacts of arbitrary disturbances, which are captured by a stochastic process.…”

Section: Formulation Of the Modelmentioning

confidence: 99%

Insights into COVID-19 stochastic modelling with effects of various transmission rates: simulations with real statistical data from UK, Australia, Spain, and India

Xu,

Pang,

Liu

et al. 2024

Phys. Scr.

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In the literature \cite{saeed}, the COVID-19 model has been constructed using deterministic approach. The present manuscript examines a stochastic model designed to capture the interplay between COVID-19 and varying infection rates on disease dynamics. We present the necessary criteria for a global solution to the considered model to exist and be unique. To illustrate several outcomes pertaining to the ergodic properties of the given system, the we utilize nonlinear analysis. Furthermore, the model undergoes simulation and is compared with deterministic dynamics. To verify the efficacy of the considered model and demonstrate its utility, we compare the dynamics of the infected population to real statistical data from multiple countries, such as the United Kingdom, Australia, Spain, and India. The proposed model has proven to be a reliable and effective tool for understanding the intricate nature of COVID-19 dynamics. Moreover, we provide a visually striking depiction of the impact of different infection rates on the propagation of the model under investigation. This visualization provides valuable insight into the multifaceted nature of the pandemic and significantly contributes to the comprehension of COVID-19 dynamics.

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“…Stochastic differential equations (SDEs) are mathematical models that describe the evolution of a system over time in the presence of randomness or uncertainty. They are used in a wide range of applications, including finance, physics, biology, and engineering, among others [7] , [8] , [9] .…”

Section: Introductionmentioning

confidence: 99%

Stochastic analysis of a COVID-19 model with effects of vaccination and different transition rates: Real data approach

Liu

Pang

et al. 2023

Chaos, Solitons & Fractals

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Stochastic Model of Heat Transfer in the Atmospheric Surface Layer

Cited by 8 publications

References 16 publications

A New Numerical Method to Solve Some ${PDE}_{s}$ in the Unit Ball and Comparison with the Finite Element and the Exact Solution

A New Numerical Method to Solve Some ${PDE}_{s}$ in the Unit Ball and Comparison with the Finite Element and the Exact Solution

Insights into COVID-19 stochastic modelling with effects of various transmission rates: simulations with real statistical data from UK, Australia, Spain, and India

Stochastic analysis of a COVID-19 model with effects of vaccination and different transition rates: Real data approach

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Stochastic Model of Heat Transfer in the Atmospheric Surface Layer

Cited by 8 publications

References 16 publications

A New Numerical Method to Solve Some PDE s in the Unit Ball and Comparison with the Finite Element and the Exact Solution

A New Numerical Method to Solve Some PDE s in the Unit Ball and Comparison with the Finite Element and the Exact Solution

Insights into COVID-19 stochastic modelling with effects of various transmission rates: simulations with real statistical data from UK, Australia, Spain, and India

Stochastic analysis of a COVID-19 model with effects of vaccination and different transition rates: Real data approach

Contact Info

Product

Resources

About

A New Numerical Method to Solve Some ${PDE}_{s}$ in the Unit Ball and Comparison with the Finite Element and the Exact Solution

A New Numerical Method to Solve Some ${PDE}_{s}$ in the Unit Ball and Comparison with the Finite Element and the Exact Solution