Convection-diffusion problem with parabolic 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
... 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
... 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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Implementation of Sinc-Galerkin on Parabolic Inverse problem with unknown boundary condition
... The determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. For solving these ill-posed inverse problems, Galerkin method based on Sinc basis func- ...
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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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Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection diffusion equations
... Figure 1 Grid movement of the algorithm for Example 5.1 with N = 32, M = 20, ε 1 = 10 –2 , and ε 2 = 10 –4 Figure 2 Numerical solution of Example 5.1 for N = M = 64, ε 1 = 10 –4 , and ε 2 = 10 –6 Again, to illustrate the ...
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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 – ...
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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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The Initial Boundary Value Problem of a Parabolic System
... can be extended to the general systems of n equations. In this paper, we consider some special cases by stating some method of regularization to construct a sequence of approximation solutions with the help of monotone ...
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A parabolic free boundary problem modeling electrostatic MEMS
... evolution problem for a membrane based model of an electrostatically actuated microelectromechanical system (MEMS) is ...free boundary problem is shown to be well-posed locally in ...
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Uniqueness and stability of solutions for a type of parabolic boundary value problem
... By developing a maximum principle for the boundary value problem, rather than the equation, we prove the uniqueness of a nonnegative solution that depends continuously on boundary values[r] ...
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Slowly Oscillating Solutions of a Parabolic Inverse Problem: Boundary Value Problems
... The existence and uniqueness of a slowly oscillating solution to parabolic inverse problems for a type of boundary value problem are established. Stability of the solution is discussed. 1. ...
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An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions
... Abstract In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the nonlocal boundary conditions is considered. Under some natural regularity and consistency ...
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An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions
... inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary conditions is ...inverse problem are presented with an ...
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