A monotone finite-difference high order accuracy scheme for the 2D convection – diffusion equations
Журнал Белорусского государственного университета: Математика, информатика, 2019 A stable finite-difference scheme is constructed on a minimum stencil of a uniform mesh for a two-dimensional steady-state convection – diffusion equation of a general form; the scheme is theoretically studied and tested.
Viktor K. Polevikov
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Fitted numerical scheme for singularly perturbed convection-diffusion reaction problems involving delays [PDF]
Theoretical and Applied Mechanics, 2021 This paper deals with solution methods for singularly perturbed delay differential equations having delay on the convection and reaction terms. The considered problem exhibits an exponential boundary layer on the left or right side of the domain.
Woldaregay Mesfin +2 more
doaj +1 more source
A computational approach for fractional convection-diffusion equation via integral transforms
Ain Shams Engineering Journal, 2018 In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which ...
Jagdev Singh, Ram Swroop, Devendra Kumar
doaj +1 more source
Parallel application of a novel domain decomposition preconditioner for the adaptive finite-element solution of three-dimensional convection-dominated PDEs [PDF]
, 2003 We describe and analyse the parallel implementation of a novel domain decomposition preconditioner for the fast iterative solution of linear systems of algebraic equations arising from the discretization of elliptic partial differential equations (PDEs ...
Ashby +22 more
core +1 more source
Ain Shams Engineering Journal, 2018 In this article, a parameter-uniform numerical method for a weakly coupled system of singularly perturbed reaction–convection–diffusion problems with discontinuous source term containing two small parameters multiplied to the highest and second highest ...
Pathan Mahabub Basha, Vembu Shanthi
doaj +1 more source
Maximum-principle preserving space-time isogeometric analysis [PDF]
, 2019 In this work we propose a nonlinear stabilization technique for convection-diffusion-reaction and pure transport problems discretized with space-time isogeometric analysis. The stabilization is based on a graph-theoretic artificial diffusion operator and
Badia, Santiago, Bonilla, Jesús
core +2 more sources
Efficient solver for a special class of convection-diffusion problems
, 2019 We describe an exact and highly efficient numerical algorithm for solving a special but important class of convection-diffusion equations. These equations occur in many problems in physics, chemistry, or biology, and they are usually hard to treat due to
Enderlein, Jörg +3 more
core +1 more source
Dead Cores in a Convection-Diffusion Problem
Journal of Mathematical Analysis and Applications, 1994 A model for fiber spinning is considered. It involves the compressible gas flow through a cylindrical multifilament bundle of parallel fibers. The volume occupied by the bundle is modelled as a porous medium with anisotropic permeability, and the flow is governed by Darcy's law.
Vanderhout, R. +3 more
openaire +1 more source