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Analytical Solutions of a Nonlinear Convection-Diffusion Equation With Polynomial Sources
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
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On highly oscillatory problems arising in electronic engineering [PDF]
In this paper, we consider linear ordinary differential equations originating in electronic engineering, which exhibit exceedingly rapid oscillation.
Deaño Cabrera, Alfredo +66 more
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A bounded upwinding scheme for computing convection-dominated transport problems
A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference ...
McKee, Sean +14 more
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An Obstacle Problem for Noncoercive Operators
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
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On Local Relaxation Methods and Their Application to Convection-Diffusion Equations [PDF]
This paper discusses local relaxation (LR) methods which can be regarded as generalizations of the successive overrelaxation (SOR) method. The difference is that within an LR method the relaxation factor is allowed to vary from equation to equation.
Veldman, Arthur E.P., +3 more
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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
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Numerical studies are presented that investigate finite element methods satisfying discrete maximum principles for convection-diffusion-reaction equations.
Ondřej Pártl +5 more
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On the Generalized Fractional Convection–Diffusion Equation with an Initial Condition in
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
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Free Convection MHD Flow with Thermal Radiation from an Impulsively-Started Vertical Plate
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
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Richardson Extrapolation for Singularly Perturbed Fredholm Integro Differential Equations [PDF]
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
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