Results 1 to 10 of about 305,463 (213)

Uniformly Convergent Hybrid Numerical Method for Singularly Perturbed Delay Convection-Diffusion Problems

open access: yesInternational Journal of Differential Equations, 2021
This paper deals with numerical treatment of nonstationary singularly perturbed delay convection-diffusion problems. The solution of the considered problem exhibits boundary layer on the right side of the spatial domain.
Mesfin Mekuria Woldaregay   +1 more
doaj   +2 more sources

Superconvergence using pointwise interpolation in convection–diffusion problems [PDF]

open access: yesApplied Numerical Mathematics, 2014
corrected version, 18 ...
Franz, Sebastian
openaire   +4 more sources

VAGO Method for the solution of elliptic second‐order boundary value problems [PDF]

open access: yesMathematical Modelling and Analysis, 2010
Mathematical physics problems are often formulated using differential operators of vector analysis, i.e. invariant operators of first order, namely, divergence, gradient and rotor (curl) operators.
Nikolay Vabishchevich   +1 more
doaj   +5 more sources

Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we discuss the superconvergence of the local discontinuous Galerkin methods for nonlinear convection-diffusion equations. We prove that the numerical solution is ( k + 3 / 2 ) $(k+3/2)$ th-order superconvergent to a particular projection ...
Hui Bi, Chengeng Qian
doaj   +2 more sources

Analytical solutions of convection–diffusion problems by combining Laplace transform method and homotopy perturbation method

open access: yesAlexandria Engineering Journal, 2015
The aim of this paper was to present a user friendly numerical algorithm based on homotopy perturbation transform method for solving various linear and nonlinear convection-diffusion problems arising in physical phenomena where particles, energy, or ...
Sumit Gupta   +2 more
doaj   +2 more sources

A hybrid multigrid method for convection–diffusion problems

open access: yesJournal of Computational and Applied Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chaabane Khelifi, S.   +3 more
openaire   +3 more sources

Deep Learning-based Schemes for Singularly Perturbed Convection-Diffusion Problems [PDF]

open access: yesESAIM Proceedings and Surveys, 2022
Deep learning-based numerical schemes such as Physically Informed Neural Networks (PINNs) have recently emerged as an alternative to classical numerical schemes for solving Partial Differential Equations (PDEs).
A. Beguinet   +5 more
semanticscholar   +1 more source

Hermite Method of Approximate Particular Solutions for Solving Time-Dependent Convection-Diffusion-Reaction Problems

open access: yesMathematics, 2022
This article describes the development of the Hermite method of approximate particular solutions (MAPS) to solve time-dependent convection-diffusion-reaction problems.
Jen-Yi Chang   +2 more
doaj   +1 more source

The Improved Element-Free Galerkin Method for 3D Steady Convection-Diffusion-Reaction Problems with Variable Coefficients

open access: yesMathematics, 2023
In order to obtain the numerical results of 3D convection-diffusion-reaction problems with variable coefficients efficiently, we select the improved element-free Galerkin (IEFG) method instead of the traditional element-free Galerkin (EFG) method by ...
Heng Cheng, Zebin Xing, Yan Liu
doaj   +1 more source

A method of line with improved accuracy for singularly perturbed parabolic convection–diffusion problems with large temporal lag

open access: yesResults in Applied Mathematics, 2021
A robust numerical scheme is proposed to solve singularly perturbed large time-delay parabolic convection–diffusion problems. For domain discretization, the backward-Euler method for the time derivative and Micken’s type discretization for the space ...
N. Negero, G. Duressa
semanticscholar   +1 more source

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