Results 1 to 10 of about 1,065,619 (287)
Fractional reaction-diffusion equation [PDF]
The Journal of Chemical Physics, 2003 A fractional reaction-diffusion equation is derived from a continuous time random walk model when the transport is dispersive. The exit from the encounter distance, which is described by the algebraic waiting time distribution of jump motion, interferes with the reaction at the encounter distance. Therefore, the reaction term has a memory effect.
Seki, Kazuhiko +2 more
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Method of approximations for the convection-dominated anomalous diffusion equation in a rectangular plate using high-resolution compact discretization [PDF]
MethodsX, 2022 The present method describes the high-resolution compact discretization method for the numerical solution of the nonlinear fractal convection-diffusion model on a rectangular plate by employing the Hausdorff distance metric.
Navnit Jha, Shikha Verma
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Lattice Boltzmann Simulation of Spatial Fractional Convection–Diffusion Equation [PDF]
EntropyThe space fractional advection–diffusion equation is a crucial type of fractional partial differential equation, widely used for its ability to more accurately describe natural phenomena. Due to the complexity of analytical approaches, this paper focuses
Xiaohua Bi, Huimin Wang
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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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Multinomial diffusion equation [PDF]
Physical Review E, 2011 Fourth ...
Balter, Ariel, Tartakovsky, Alexandre
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Fractional chemotaxis diffusion equations [PDF]
Physical Review E, 2010 We introduce mesoscopic and macroscopic model equations of chemotaxis with anomalous subdiffusion for modelling chemically directed transport of biological organisms in changing chemical environments with diffusion hindered by traps or macro-molecular crowding.
Langlands, T. A. M., Henry, B. I.
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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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