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A survey of numerical schemes for transportation equation [PDF]
E3S Web of Conferences, 2021 The convection-diffusion equation is a fundamental equation that exists widely. The convection-diffusion equation consists of two processes: diffusion and convection. The convection-diffusion equation can also be called drift-diffusion equaintion.
Yu Simin
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A Generalized Diffusion Equation: Solutions and Anomalous Diffusion
Fluids, 2023 We investigate the solutions of a generalized diffusion-like equation by considering a spatial and time fractional derivative and the presence of non-local terms, which can be related to reaction or adsorption–desorption processes.
Ervin K. Lenzi +4 more
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The Secular Dressed Diffusion Equation
Universe, 2023 The secular dressed diffusion equation describes the long-term evolution of collisionless systems of particles with long-range interactions, such as self-gravitating systems submitted to a weak external stochastic perturbation.
Pierre-Henri Chavanis
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Even and Odd Self-Similar Solutions of the Diffusion Equation for Infinite Horizon
Universe, 2023 In the description of transport phenomena, diffusion represents an important aspect. In certain cases, the diffusion may appear together with convection. In this paper, we study the diffusion equation with the self-similar Ansatz.
László Mátyás, Imre Ferenc Barna
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Study on numerical simulation method of viscosity time-varying slurry diffusion law
Frontiers in Earth Science, 2023 In this study, finite element and finite difference methods were used for numerical calculations. The law of slurry diffusion in the inclined plane cracks is summarized in this study.
Guohua Zhang +4 more
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Frontiers in Astronomy and Space Sciences, 2023 In the first part of this work, we highlighted a drift-diffusion equation capable of resolving the magnetic local time dimension when describing the effects of trapped particle transport on radiation belt intensity.
Solène Lejosne +2 more
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Advanced Analytic Self-Similar Solutions of Regular and Irregular Diffusion Equations
Mathematics, 2022 We study the diffusion equation with an appropriate change of variables. This equation is, in general, a partial differential equation (PDE). With the self-similar and related Ansatz, we transform the PDE of diffusion to an ordinary differential equation.
Imre Ferenc Barna, László Mátyás
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Tikrit Journal of Pure Science, 2023 In this paper A study of the fixed and variable capacitances numerical stability in the diffusion and load equation. in two cases , the first when the amplitude is constant the solution is stable , and the second is variable the solution in this case is
Ramyi N. ALI, Awni M . Gaftan
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Fundamental solution of the model equation of anomalous diffusion of fractional order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 Fundamental solution of the model equation of anomalous diffusion with Riemann-Liouville operator is constructed. Using the properties of the integral transformation with Wright function in kernel, we give estimates for the fundamental solution. When the
Fatima G Khushtova
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A Study of Diffusion Equation-Based Land-Use/Land-Cover Change Simulation
ISPRS International Journal of Geo-Information, 2021 Simulating and predicting the development and changes in urban land change can provide valuable references for the sustainable development of cities. However, the change process of urban land-use/land-cover is a complex process involving multiple factors
Min Jin +3 more
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