Results 21 to 30 of about 9,535 (264)

Analytical Solutions of a Nonlinear Convection-Diffusion Equation With Polynomial Sources

open access: yesМоделирование и анализ информационных систем, 2016
Nonlinear convection–diffusion equations are widely used for the description of various processes and phenomena in physics, mechanics and biology. In this work we consider a family of nonlinear ordinary differential equations which is a traveling wave ...
N. A. Kudryashov, D. I. Sinelshchikov
doaj   +1 more source

Fujita type theorem for a class of coupled quasilinear convection–diffusion equations

open access: yesBoundary Value Problems, 2021
In this paper, we establish the Fujita type theorem for a homogeneous Neumann outer problem of the coupled quasilinear convection–diffusion equations and formulate the critical Fujita exponent. Besides, the influence of diffusion term, reaction term, and
Yanan Zhou, Yan Leng, Yuanyuan Nie
doaj   +1 more source

An Obstacle Problem for Noncoercive Operators

open access: yesAbstract and Applied Analysis, 2015
We study the obstacle problem for second order nonlinear equations whose model appears in the stationary diffusion-convection problem. We assume that the growth coefficient of the convection term lies in the Marcinkiewicz space weak-LN.
Luigi Greco   +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

Free Convection MHD Flow with Thermal Radiation from an Impulsively-Started Vertical Plate

open access: yesNonlinear Analysis, 2009
This paper investigates the combined effects of magnetohydrodynamics and radiation on free convection flow past an impulsively started isothermal vertical plate with Rosseland diffusion approximation.
G. Palani, I. A. Abbas
doaj   +1 more source

On the Generalized Fractional Convection–Diffusion Equation with an Initial Condition in Rn

open access: yesFractal and Fractional
Time-fractional convection–diffusion equations are significant for their ability to model complex transport phenomena that deviate from classical behavior, with numerous applications in anomalous diffusion, memory effects, and nonlocality.
Chenkuan Li   +3 more
doaj   +1 more source

Richardson Extrapolation for Singularly Perturbed Fredholm Integro Differential Equations [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences
This study numerically derived the higher order convergence for a class of singularly perturbed Fredholm integro differential equations with reaction diffusion and convection diffusion type problems.
P. Antony Prince   +2 more
doaj   +1 more source

Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations

open access: yesBoundary Value Problems, 2022
Convection-diffusion equation is widely used to describe many engineering and physical problems. The finite element method is one of the most common tools for computing numerical solution. In 2003, Wang et al.
Lanyin Sun, Fangming Su
doaj   +1 more source

Recycling of NiTi Shape Memory Alloys: Fundamental and Technological Aspects of a Vacuum Induction Melting Processing Route

open access: yesAdvanced Engineering Materials, EarlyView.
The present study investigates recycling of NiTi shape memory alloys via vacuum induction melting. An ingot was synthesized from elemental Ni and Ti and subjected to three subsequent remelting cycles. Remelting increases process durations and impurity levels and adversely affects microstructures and functional properties.
Sakia Sophia Noorzayee   +7 more
wiley   +1 more source

Exploration of wave dynamics and soliton behavior in a nonlinear 3D convection-diffusion wave equation

open access: yesResults in Engineering
In this work, a two-dimensional nonlinear wave convection-diffusion equation is studied using the symmetry-based techniques, specifically Lie-symmetry approach.
Faiza Arif   +3 more
doaj   +1 more source

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