Results 11 to 20 of about 66,477 (313)
Relaxation method for unsteady convection–diffusion equations
Computers & Mathematics with Applications, 2011 We propose and implement a relaxation method for solving unsteady linear and nonlinear convection–diffusion equations with continuous or discontinuity-like initial conditions. The method transforms a convection–diffusion equation into a relaxation system,
Changjiang Zhang +5 more
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Lagrangian for the convection–diffusion equation [PDF]
Mathematical Methods in the Applied Sciences, 2012 Using the asymmetric fractional calculus of variations, we derive a fractional Lagrangian variational formulation of the convection–diffusion equation in the special case of constant coefficients. Copyright © 2012 John Wiley & Sons, Ltd.
Cresson, Jacky +2 more
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Metastability for nonlinear convection–diffusion equations [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Folino, Raffaele +3 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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A nonlocal convection–diffusion equation
Journal of Functional Analysis, 2007 En este trabajo estudiamos una ecuación no local que tiene en cuenta los efectos convectivos y difusivos, ut=J∗u−u+G∗(f(u))−f(u) en Rd, siendo J radialmente simétrica y G no necesariamente simétrica. Primero, probamos la existencia, la singularidad y la dependencia continua con respecto a la condición inicial de las soluciones.
Liviu I. Ignat, Julio D. Rossi
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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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Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions
Journal of Function Spaces, 2020 In this paper, we first present the expression of a model of a fourth-order compact finite difference (CFD) scheme for the convection diffusion equation with variable convection coefficient.
Yan Gao, Songlin Liu
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A stabilized mixed finite element method for convection-diffusion-reaction equations
四川大学学报. 自然科学版, 2023 In this paper, we propose a stabilized finite element for the convection-diffusion-reaction equations. This finite element combines the mixed finite element with the least-squares method.
YANG Xing-Yue +2 more
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Space–Time Radial Basis Function–Based Meshless Approach for Solving Convection–Diffusion Equations
Mathematics, 2020 This article proposes a space–time meshless approach based on the transient radial polynomial series function (TRPSF) for solving convection–diffusion equations.
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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A posteriori Variational Multiscale Methods for the 1D convection-diffusion equations
Comptes Rendus. Mécanique, 2023 The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational Science for the $21^{\rm st}$ century” conference held in Tours in 1997 honouring the $60^{\rm th}$ birthday of Roland Glowinski. It
Chacón Rebollo, Tomás +2 more
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