one-dimensional diffusion equation
Difference -Analytical Method Of The One-Dimensional Convection-Diffusion Equation
... Convection-diffusion problems are base at modelling of problems of hydrodynamics and heat-mass transfer [2]. The basic attention at a numerical solution is given to problems of approximation of convective terms ...
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The effect of added pollutant along a river on the pollutant concentration described by one –dimensional advection diffusion equation.
... Pollution can be classified as air pollution, soil pollution , surface pollution and ground water pollution. It’s source may be natural or anthropogenic .One type of source of these pollution is a point source ...
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The Analytical Objective Hysteresis Model (AnOHM v1.0): methodology to determine bulk storage heat flux coefficients
... the one-dimensional advection– diffusion equation of coupled heat and liquid water transport in conjunction with the SEB is conducted, allowing develop- ment of AnOHM (Analytical Objective ...
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Cubic B-spline Collocation Method for One-Dimensional Heat Equation
... is one of the well-known second order parabolic linear partial differential equation [1, 3, ...heat equation is a very important equation in physics and ...heat equation describes the ...
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An Analytical Approach for One Dimensional Advection Diffusion Equation with Temporally Dependent Variable Coefficients of Hyperbolic Function in Semi Infinite Porous Domain
... a one-dimensional, semi-infinite, porous medium. One- dimensional temporally dependent advection-dispersion equation in finite homogeneous porous media was examined by Jaiswal et ...
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An efficient one dimensional parabolic equation solver using parallel computing
... the one-dimensional parabolic equation solved by three important methods, namely Alternating Direct Implicit, Jacobi Iteration, and Gauss-Seidel ...parabolic equation will be written into the ...
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Numerical Approximation to Nonlinear One Dimensional Coupled Reaction Diffusion System
... The Von-Neumann stability analysis is the most common used method of de- termining stability criterion as it is generally the easiest to apply. It can only be used to establish a necessary and sufficient condition for ...
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A new approach to solve the time dependent three dimensional advection diffusion equation applied to model air pollution dispersion in the planetary boundary layer
... this equation in the advection-diffusion equation and taking moments, one comes out with a matrix ordinary differential equation that is then solved analytically by the Laplace ...
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Scaling properties of one dimensional cluster cluster aggregation with Lévy diffusion
... Lee-Cardy equation for this model (Sec- tion ...and diffusion-limited regimes (Section ...the one-dimensional model, we then characterise the suggested form of the mass density as a function ...
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Stability Analysis of Three Dimensional Advection-Diffusion Equation with a Mixed Derivative
... dispersion. One of the researchers that tried to solve Advection – Diffusion Equation in implicit condition is Gottlieb ...the equation with Finite Difference Method by using the upwind and ...
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Consistency Analysis of Three Dimensional Advection-Diffusion Equation with a Mixed Derivative
... dispersion. One of the researchers that tried to solve Advection – Diffusion Equation in implicit condition is Douglas ...the equation with Finite Difference Method by using the upwind and ...
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Application of Special Functions in One Dimensional Advective Diffusion Problem
... advective diffusion is a process where solute particles in a solvent are diffused and transported with the flow of ...advective-diffusion equation is given by ( see Harrison and Perry [5], Hanna et ...
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Hole-effect chaos in the one-dimensional complex Ginzurg-Landau equation
... then typically will exhibit a fixed lifetime, leading to Sier- pinsky gasket-type patterns as is often the case in reaction- diffusion models 关 12 兴 . A related scenario appears to occur in the periodically forced ...
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Alternating Group Explicit Iterative Methods for One Dimensional Advection Diffusion Equation
... The finite difference method such as alternating group iterative methods is useful in numerical method for evolutionary equations and this is the standard approach taken in this paper. Alter- nating group explicit (AGE) ...
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One-dimensional numerical solution of the diffusion equation to describe wood drying: comparison with two- and three-dimensional solutions
... fusion equation are used to describe drying processes of wood [1, 11, ...a one-dimensional ana- lytical solution for the infinite slab to describe drying of lumber cut in the radial direction ...
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Analytical Solution to the One Dimensional Advection Diffusion Equation with Temporally Dependent Coefficients
... sion along uniform flow; uniform dispersion along un- steady flow and uniform dispersion along uniform flow, are obtained as particular cases. The analytical solutions in each of the four cases are compared with each ...
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Discontinuous Legendre Wavelet Galerkin Method for One Dimensional Advection Diffusion Equation
... solving one- dimensional advection-diffusion equation ...type equation and corresponding numerical fluxes are devised by utilizing the advantages of both the Legendre wavelet bases and ...
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Determination of water quality in uniform channel using homotopy analysis method
... river. One of the parameter that can be considered is the level of chemical oxygen demand ...(COD). One dimensional convection-diffusion equation with variable coefficients arising in ...
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Evaluation of Preservation Effect by Aquo Siloxane Method towards Water Permeation and Material Diffusion into Porous Rocks
... Research group, X-Earth Center of Kumamoto University in which authors belongs to, is operating two types of X-ray CT systems, such as industrial X-ray CT scanner and μ-focus X-ray CT scanner. Industrial X-ray CT scanner ...
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Kinetic Model for Solute Diffusion in Liquid Membrane Systems Juan Abdul-Wahid O. Al-Naisani |Eman T. Kareem| Yousif I. AbuZaid | Taki A. Himdan
... In this study, a mathematical model for the kinetics of solute transport in liquid membrane systems (LMSs) has been formulated. This model merged the mechanisms of consecutive and reversible processes with a ...
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