Results 11 to 20 of about 278,997 (212)
Advances in Difference Equations, 2021 Convection and diffusion are two harmonious physical processes that transfer particles and physical quantities. This paper deals with a new aspect of solving the convection–diffusion equation in fractional order using the finite volume method and the ...
Reem Edwan +4 more
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Graph Neural Convection-Diffusion with Heterophily [PDF]
International Joint Conference on Artificial Intelligence, 2023 Graph neural networks (GNNs) have shown promising results across various graph learning tasks, but they often assume homophily, which can result in poor performance on heterophilic graphs.
Kai Zhao +5 more
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Mathematics, 2020 In this paper, we have considered a numerical difference approximation for solving two-dimensional Riesz space fractional convection-diffusion problem with source term over a finite domain. The convection and diffusion equation can depend on both spatial
Eyaya Fekadie Anley, Zhoushun Zheng
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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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A nonlocal convection–diffusion equation
Journal of Functional Analysis, 2007 The authors study a nonlocal equation of the form \(u_t = J*u -u + G*(f(u)) - f(u)\) in \((0,\infty)\times\mathbb R^d\) subject to the initial condition \(u(x,0) = u_0(x)\), \(x \in\mathbb R^d\), with \(J\) radially symmetric and \(G\) not necessary symmetric. The nonlinearity \(f\) is assumed to be nondecreasing with \(f(0) = 0\) and locally Lipschitz
Ignat, L.I., Rossi, J.D.
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Exact Solutions for Some Partial Differential Equations by Using First Integral Method [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, some exact solutions for the convection–diffusion–reaction equation in two dimensions and a nonlinear system of partial differential equations are formally derived by using the first integral method, which are based on the theory of ...
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Entropy Schemes for One-Dimensional Convection-Diffusion Equations
Complexity, 2020 In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation. The operator splitting method is used to solve the convection-diffusion equation that is divided into conservation and ...
Rongsan Chen
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Partial Differential Equations in Applied Mathematics, 2020 A particular function defined in terms of the Lambert function W is shown to serve as the basis for exact traveling wave solutions to several reaction–diffusion–convection (RDC) equations involving rational, non-linear diffusion terms. These represent a
Brian Wesley Williams
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Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation
Communications in Computational Physics, 2019 In this paper, we propose and analyze a Müntz spectral method for a class of two-dimensional space-fractional convection-diffusion equations. The proposed methods make new use of the fractional polynomials, also known as Müntz polynomials, which can be ...
Dianming Hou
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Revista mexicana de física, 2018 In this paper, we obtain analytical solutions for the time-fractional diffusion and time-fractional convection-diffusion equations. These equations are obtained from the standard equations by replacing the time derivative with a fractional derivative of ...
F. Gómez, V. Morales, Marco Taneco
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