Convection-diffusion problem with parabolic layers
Greenʼs function estimates for a singularly perturbed convection–diffusion problem
... perturbed convection-diffusion problem posed in the unit square with a horizontal convective ...exhibit parabolic and exponential boundary ...small diffusion parameter is shown ...
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An iterative domain decomposition algorithm for a nonlinear convection-diffusion problem
... In the past ten years, with the increase in high performance parallel computers, many are interested in domain decomposition techniques to help reduce processor time and computer memory required for solving problems. ...
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Convergence and Error of Some Numerical Methods for Solving a Convection Diffusion Problem
... the layers of the skin, until it reacheas the blood ...the diffusion coefficients are smaller by several order than those of the convection, thus the equation is a convection dominated ...
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Roughness-induced effects on the convection diffusion reaction problem in a thin domain
... a convection–diffusion–reaction problem in a thin domain endowed with the Robin-type boundary condition describ- ing the reaction catalyzed by the upper ...
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Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection diffusion equations
... Full list of author information is available at the end of the article Abstract In this paper, we propose a numerical scheme for a system of two linear singularly perturbed parabolic convection-diffusion ...
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... Abstract An elegant and powerful technique is Homotopy Perturbation Method (HPM) to solve linear and nonlinear partial differential equations. Using the initial conditions this method provides an analytical or exact ...
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identification in a convection-diffusion equation
... inverse problem associated with the direct problem of solving a steady state convection-diffusion system in one space dimension given ...
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Effects of parabolic and inverted parabolic temperature gradients on magneto marangoni convection in a composite layer
... of Parabolic and inverted Parabolic temperature gradient on Marangoni convection in a composite layer in the presence of vertical magnetic ...Marangoni convection in single horizontal fluid ...
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Local projection stabilisation on layer-adapted meshes for convection-diffusion problems with characteristic layers (Part I and II)
... perturbed convection-diffusion problem with exponen- tial and characteristic boundary layers on the unit square a discretisation based on layer-adapted meshes is ...
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Numerical Solution of the Steady Convection-diffusion Equation with Dominant Convection
... of convection-diffusion problems is the most widespread in the science and engineer- ...interior layers are present and singular perturbation problems arise ...
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ERROR ESTIMATE FOR SPACE-TIME DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD OF CONVECTION-DIFFUSION PROBLEM
... Abstract: This paper presents the theory of the space-time discontinuous Galerkin finite element ( DGFE) method for linear convection – diffusion problem. DGFE method is applied separately in space ...
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Modeling Convection Diffusion with Exponential Upwinding
... vection diffusion equations computationally, it is desir- able to implement methods that are amenable to parallel ...a convection diffusion model either in two or three dimensions, at the end, we are ...
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5.4 The Heat Equation and Convection-Diffusion
... Numerical example Finite Intervals with Boundary Conditions We introduced the heat equation on the whole line −∞ < x < ∞. But a physical problem will be on a finite interval like 0 ≤ x ≤ 1. We are back to ...
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On the long-wave instability of natural-convection boundary layers
... In §2 the full stability problem is formulated, and the one-dimensional base flow and temperature fields are identified. The low-wavenumber limit is formulated in § 3, and asymptotic and numerical methods are ...
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Periodic solutions of a quasilinear parabolic equation with nonlinear convection terms
... quasilinear parabolic boundary value problem arising in unsaturated flow through a porous ...dam problem and related free boundary problems evolutionary dam ...
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On source identification problem for a delay parabolic equation
... semi-linear parabolic differential equations, Inverse ...unknown diffusion and convection coefficients in ion transport problems from flux data: an analytical approach, ...scattering problem ...
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Local nonsimilarity solution for vertical free convection boundary layers.
... 6 Conclusion In this paper, the problem of laminar free convection over vertical plates with exponential wall temperature has been analyzed using the local nonsimilarity method. In this approach, the ...
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DOUBLE-DIFFUSIVE MARANGONI CONVECTION IN SUPERPOSED FLUID AND POROUS LAYERS
... Marangoni convection in a composite system comprised of an incompressible fluid- saturated porous layer underlying a layer of same fluid is ...value problem is solved using Regular perturbation technique ...
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The asymptotic behavior of the solution of a doubly degenerate parabolic equation with the convection term
... By assuming that the uniqueness of the Barenblatt-type solution of (1.11) is true, Yang and Zhao [14] had established the similar large time behavior of solution of the Cauchy problem of[r] ...
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An Ohmic heating non-local diffusion-convection problem for the
... cal problem, this means that the food (or the substance undergoing the heating) loses all resistivity at temperature u = 1, that is the heating ceases across the channel after finite ...
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