Results 11 to 20 of about 22,621 (165)

New traveling wave solutions of a nonlinear diffusion–convection equation by using standard tanh method

open access: yesTikrit Journal of Pure Science, 2023
Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for a nonlinear diffusion–convection equation.
Seham I. Aziz   +3 more
doaj   +1 more source

Lagrangian for the convection–diffusion equation [PDF]

open access: yesMathematical 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
openaire   +4 more sources

Pseudospectra of the Convection-Diffusion Operator [PDF]

open access: yesSIAM Journal on Applied Mathematics, 1994
Summary: The spectrum of the simplest 1D convection-diffusion operator is a discrete subset of the negative real axis, but the pseudospectra are regions in the complex plane bounded approximately by parabolas. Put another way, the norm of the resolvent is exponentially large as a function of the Péclet number throughout a certain approximately ...
Satish C. Reddy, Lloyd N. Trefethen
openaire   +2 more sources

A new formulation of finite difference and finite volume methods for solving a space fractional convection–diffusion model with fewer error estimates

open access: yesAdvances 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
doaj   +1 more source

Numerical Simulation of Columnar Crystal/Equiaxed Crystal Formation Model in a Convection Diffusion-multiphase Transformation System

open access: yesCailiao gongcheng, 2017
The horizontal rapid solidification of Fe-Bi-Mn free-cutting alloys were simulated by using diffusion-governed phase transformation kinetics. The three-dimensional solidification model for a convection diffusion-multiphase transformation system was built.
HE Yin-hua, WANG Fa-zhan
doaj   +1 more source

Layer resolving numerical scheme for singularly perturbed parabolic convection-diffusion problem with an interior layer

open access: yesMethodsX, 2023
Singularly perturbed parabolic convection-diffusion problem with interior layer is a type of singularly perturbed boundary value problems which have sign change properties in the coefficient function of the convection term.
Gemadi Roba Kusi   +2 more
doaj   +1 more source

Finite Difference Method for Two-Sided Two Dimensional Space Fractional Convection-Diffusion Problem with Source Term

open access: yesMathematics, 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
doaj   +1 more source

Concentration Distribution of Chloride Ion under the Influence of the Convection-Diffusion Coupling

open access: yesAdvances in Materials Science and Engineering, 2017
The transfer process of chloride ion under the action of the convection-diffusion coupling was analyzed in order to predict the corrosion of reinforcement and the durability of structure more accurately.
Q. L. Zhao, Y. Z. Zhang
doaj   +1 more source

Entropy Schemes for One-Dimensional Convection-Diffusion Equations

open access: yesComplexity, 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
doaj   +1 more source

An Indefinite Convection-Diffusion Operator [PDF]

open access: yesLMS Journal of Computation and Mathematics, 2007
AbstractWe give a mathematically rigorous analysis which confirms the surprising results in a recent paper of Benilov, O‘Brien and Sazonov [J. Fluid Mech. 497 (2003) 201-224] about the spectrum of a highly singular non-self-adjoint operator that arises in a problem in fluid mechanics.
openaire   +4 more sources

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