Convection-diffusion problem with elliptic boundary layers
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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An Ohmic heating non-local diffusion-convection problem for the
... u t = u xx − u x + λf(u) ( R 1 0 f (u)dx) 2 together with some initial and boundary conditions for the case where f is the Heaviside function. It is found, for de- creasing f , that there exist critical values λ ∗ ...
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Greenʼs function estimates for a singularly perturbed convection–diffusion problem
... We consider a singularly perturbed convection-diffusion problem posed in the unit square with a horizontal convective direction. Its solutions exhibit parabolic and exponential boundary ...
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An iterative domain decomposition algorithm for a nonlinear convection-diffusion problem
... We consider the two level Schwarz domain decomposition algorithm by Garbey et al. [5]. This algorithm consists of the two iterative processes: outer iterations and inner iterations. One outer iterative step represents ...
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Convergence and Error of Some Numerical Methods for Solving a Convection Diffusion Problem
... The novelty in this paper is that we study the smooth- ing factor, asimptotic convergence factor and the error reduction factor of the multigrid method for a time de- pendent convection-diffusion equation, ...
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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 ...upper boundary and analyze ...
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Free Convection Heat Transfer through Coupled Thermal Boundary Layers in a Partitioned Triangular Enclosure
... © ICME2011 2 TH-033 2. FORMULATION OF THE PROBLEM Under consideration is a triangular cavity of height H, half length of the base l, containing a Newtonian fluid, air which is initially at quiescent. A partition ...
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... [12] M. Ghoreishi and A. I. B. Md. Ismail, “The Homotopy Perturbation Method (HPM) for Nonlinear Parabolic Equation with Nonlocal Boundary Conditions”, Applied Mathematical Sciences, Vol. 5( 3), p- 113 – 123, ...
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Boundary Layers in Periodic Homogenization
... conductivity problem, we use a matrix A(ε −1 x) to describe the thermal conductivity tensor of a ...following elliptic partial differential equation with a Dirichlet boundary ...
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Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations
... functional convection reaction-diffusion problems with a singular reaction function which depends on both the u and functional value K ∗ u, in which the boundary value problem under consideration is ...
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Conjugate natural convection boundary layers
... By studying the temperature contours for all cases, it is clear that as Ra increases isotherms change from being completely vertical and parallel to the side walls (i.e., the Ra = 10 3 case) to angled and finally ...
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On the long-wave instability of natural-convection boundary layers
... the boundary-layer equations changed at a particular time for a given vertical position : this allowed an estimate of the speed of the effect as it travelled along the boundary ...the boundary-layer ...
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Stability characteristics of conjugate natural convection boundary layers
... natural convection boundary layers forming on all vertical ...convective boundary layer instability which becomes absolutely unstable as a result of the thermal coupling across the partition ...
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Unsteady mixed convection boundary layer flow from elliptic cylinder
... CHAPTER 1 INTRODUCTION 1.1 Brief Introduction In this chapter, we will expose some background information about unsteady mixed convection boundary layer from an elliptic cylinder. In fact, we also ...
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The existence of positive solutions for an elliptic boundary value problem
... AN ELLIPTIC BOUNDARY VALUE PROBLEM ...Dirichlet boundary conditions and show that for every λ < λ 1 , where λ 1 is the first eigenvalue of − ∆ u = λu in Ω with the Dirichlet boundary ...
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Existence of positive solutions of elliptic mixed boundary value problem
... 16. Li, S, Willem, M: Multiple solution for asymptotically linear boundary value problems in which the nonlinearity crosses at least one eigenvalue. Nonlinear Differ. Equ. Appl. 5, 479-490 (1998) 17. Mawhin, J, ...
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Research of 2D variable coefficient elliptic boundary value problem
... This paper used the finite element method and the finite difference method to solve the two-dimensional variable coefficient elliptic boundary value problem. It get the corresponding error analysis, ...
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Artificial boundary condition for a modified fractional diffusion problem
... diffusion problem involving a time derivative acting on two time scales represented by two fractional derivatives is ...the problem corresponds to the subdiffusion ...the problem to that support there ...
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Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
... inverse problem for a multidimensional elliptic equation with mixed boundary conditions and overdetermination is ...inverse problem are ...mixed boundary value conditions, numerical ...
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On solvability of boundary value problem for elliptic equations with Bitsadze Samarskiĭ condition
... l,roblem 1,v a line;-r elliptic equation, which is also known as the boundary wlue l,,)l, I,.m with the Lilt sadze- Sm, arski condLt ion. We prove the existence and uniqueness of a class[r] ...
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