Results 21 to 30 of about 136,590 (291)
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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An explicit method for convection-diffusion equations [PDF]
Japan Journal of Industrial and Applied Mathematics, 2009 The authors approximate convection-diffusion equations with dominant convection by discretizing in space with piecewise linear finite elements combining with a non-standard explicit Euler scheme for the time integration. They prove that the numerical solution is stable in the \(L^\infty\)-norm in both space and time.
Ruas, Vitoriano +2 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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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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Competitive effects between stationary chemical reaction centres: a theory based on off-center monopoles. [PDF]
, 2015 The subject of this paper is competitive effects between multiple reaction sinks. A theory based on off-center monopoles is developed for the steady-state diffusion equation and for the convection-diffusion equation with a constant flow field.
Biello, Joseph A, Samson, René
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Parabolic approximations of the convection-diffusion equation [PDF]
Mathematics of Computation, 1993 We propose an approximation of the convection-diffusion operator which consists in the product of two parabolic operators. This approximation is much easier to solve than the full convection-diffusion equation, which is elliptic in space. We prove that this approximation is of order three in the viscosity and that the classical parabolic approximation ...
Lohéac, J. P. +2 more
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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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The Regulator Problem to the Convection–Diffusion Equation
Mathematics, 2023 In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
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