Solution of the diffusion equation
Numerical solution of the advective-diffusion equation
... advective-diffusion equation is the method o f characteristics or Lagrangian ...advective-diffusion equation is reduced to the solution of the diffusion equation on a ...
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Solution of the diffusion equation using Adomain decomposition
... atmospheric diffusion equation (ADE) using Adomain decomposition ...The solution depends on eddy diffusivity profile (K) and wind speed at the released point ...
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Complete Numerical Solution of the Diffusion Equation of Random Genetic Drift
... the diffusion equation for the random genetic drift that occurs at a single unlinked locus with two ...numerical solution represents a probability distribution whose total probability is ...the ...
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Solution of a modified fractional diffusion equation
... fractional diffusion equation, ...the diffusion term. In this letter we give the solution of the modified equation on an infinite ...the solution of the traditional fractional ...
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SOLUTION OF REACTION–DIFFUSION EQUATION BY ADOMIAN DECOMPOSITION METHOD
... D.P. Singh Associate Professor, Department of Mathematics, RBS College, Agra Abstract: Adomian decomposition method (ADM) has been applied to solve many differential equations. In this paper, Adomian decomposition method ...
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Overlapping Schwarz waveform relaxation method for the solution of the reaction–diffusion equation
... To observe the linear and superlinear convergence, the model was integrated over long time interval T = 10 and short time interval T = 1, respectively. The numerical experiments for the solution of the ...
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A quasi-analytical solution of homogeneous extended surfaces heat diffusion equation
... the solution of linear problems is generally obtained as a par- ticular case of nonlinear ...series solution of the homogeneous extended surface heat diffusion equa- tion using the differential ...
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Grid expansion factor for the shooting method solution of convection diffusion equation
... E-Mail: [email protected] ABSTRACT The essential nature of convection-diffusion related problems is the main reason why they are found in various science and engineering applications. This includes the ...
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Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
... been successfully applied to find the solution of space fractional diffusion equation. All cases show that the results of the ADM method are very good and the ob- tained solutions are shown ...
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Analytical Solution to the One Dimensional Advection Diffusion Equation with Temporally Dependent Coefficients
... analytical solution of the advection- diffusion equation with constant coefficients in an ini- tially solute free semi-infinite domain for a continuous uniform input point source 0 at the origin has ...
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Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
... In this paper, He’s variational iteration method has been successfully applied to find the solution of space frac- tional diffusion equation. All cases show that the results of the VIM method are ...
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Air Pollution Steady State Advection Diffusion Equation: The General Three Dimensional Solution
... the equation of continuity, leads to the advection-diffusion ...the solution (numerical or analytical) of the advection-diffusion equation as- suming turbulence parameterization for ...
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The Differential Quadrature Solution of Reaction Diffusion Equation Using Explicit and Implicit Numerical Schemes
... solution using very small step size due to the limitation of stability condition that leads to more computational cost and lower efficiency. Therefore, Meral applied differential quadrature method and implicit ...
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Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
... Fractional diffusion equations have been topic of interest, studied by many researchers for developing fractional order finite difference ...moisture diffusion equation. The solution of the ...
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Mathematical relationship between grid and low Peclet numbers for the solution of convection diffusion equation
... The reduction of simulation time by means of lattice Boltzmann scheme (LBS) was discussed by [1] and [6], where the performance of LBS was found to be similar to that of one-step second-order Lax–Wendroff scheme, and ...
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Application of Green Function Method for Solution Advection Diffusion Equation of Nutrient Concentration in Groundwater
... advection diffusion equation of nutrients in the porous ground water is nonhomogeneous partial differential equation can be solved by reducing the nonhomogeneous advection diffusion ...
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Numerical Solution of the Diffusion Equation with Restrictive Pade Approximation
... Ahmet Boz * , Fevziye Gülsever Departments of Mathematics, Dumlupinar University, Kütahya, Turkey Abstract The problem of solving the linear diffusion equation by a method related to the Re- strictive Pade ...
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The entropy solution of a reaction–diffusion equation on an unbounded domain
... For the initial-boundary value problem of Eq. (1.2), since the equation has the parabolic– hyperbolic mixed type, the initial value condition u(x, 0) = u 0 (x), x ∈ Ω, (1.3) is usually needed. But how to give a ...
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The global solution of a diffusion equation with nonlinear gradient term
... with p > 1, m > 0, p 1 ≤ 2, p > 2p 1 , its initial value u(x, 0) = u 0 (x) ∈ L q–1+ m 1 ( ), 3 > q > 1 and its boundary value u(x, t) = 0, (x, t) ∈ ∂ × (0, ∞). If p > 1 + m 1 , by considering the regularized problem and ...
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The Solution of Advection Diffusion Equation by The Finite Elements Method
... Advection diffusion equation (ADE) by Galerkin method (GM), Adomian decomposition method (ADM) and Homotopy perturbation method (HPM); and then, we have formed a table that contains numerical results for ...
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