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Journal of Function Spaces, 2022 In this article, the new iterative transform technique and homotopy perturbation transform method are applied to calculate the fractional-order Cauchy-reaction diffusion equation solution.
Meshari Alesemi +2 more
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A STABILIZING SUBGRID FOR CONVECTION–DIFFUSION PROBLEM [PDF]
Mathematical Models and Methods in Applied Sciences, 2006 A stabilizing subgrid which consists of a single additional node in each triangular element is analyzed by solving the convection–diffusion problem, especially in the case of small diffusion. The choice of the location of the subgrid node is based on minimizing the residual of a local problem inside each element. We study convergence properties of the
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Fractal and Fractional, 2023 The aim of this study is to utilize a differential quadrature method with various kernels, such as Lagrange interpolation and discrete singular convolution, to tackle problems related to the Riesz fractional diffusion equation and the Riesz fractional ...
Abdelfattah Mustafa +4 more
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Some Inverse Problems for Convection-Diffusion Equations
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2014 We examine the well-posedness questions for some inverse problems in the mathematical models of heat-and-mass transfer and convection-di usion processes. The coe cients and right-hand side of the system are recovered under certain additional overdetermination conditions, which are the integrals of a solution with weights over some collection of domains.
Pyatkov, S., Safonov, E.
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Convergence of adaptive mixed finite element method for convection-diffusion-reaction equations [PDF]
, 2013 We prove the convergence of an adaptive mixed finite element method (AMFEM) for (nonsymmetric) convection-diffusion-reaction equations. The convergence result holds from the cases where convection or reaction is not present to convection-or reaction ...
Du, Shaohong, Xie, Xiaoping
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Residual based a posteriori error estimation for Dirichlet boundary control problems [PDF]
ESAIM: Proceedings and Surveys, 2021 We study a residual–based a posteriori error estimate for the solution of Dirichlet boundary control problem governed by a convection diffusion equation on a two dimensional convex polygonal domain, using the local discontinuous Galerkin (LDG) method ...
Yücel Hamdullah
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High‐order difference schemes for convection‐diffusion interface problems
Mathematical Modelling and Analysis, 2005 On non‐uniform mesh new high‐order compact finite difference approximations of the solution and the flux to convection‐diffusion interface problems in one‐dimension are constructed and analyzed.
I. Tr. Angelova
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The difference scheme for the two-dimensional convection-diffusion problem for large peclet numbers
MATEC Web of Conferences, 2018 The purpose of this work is the development of a difference scheme for the solution of convection-diffusion problem at high Peclet numbers (Pe>2). In accordance with this purpose the following problems were solved: difference scheme for convection is ...
Sukhinov Alexander I. +2 more
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Probing Non-Integer Dimensions [PDF]
, 2006 We show that two-dimensional convection-diffusion problems with a radial sink or source at the origin may be recast as a pure diffusion problem in a fictitious space in which the spatial dimension is continuously-tunable with the Peclet number.
ben-Avraham D +8 more
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Preconditioned iterative methods for convection diffusion and related boundary value problems [PDF]
, 1990 We develop and analyze preconditioners for the iterative solution of the system of equations arising from the discretization of multi-dimensional singularity perturbed boundary value problems. This includes a class of convection diffusion models.
Barash, A +10 more
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