Secondary particle rearrangement by solution, diffusion and
Numerical solution of the advective-diffusion equation
... Numerical Laplace inversion techniques are required to solve the system of simultaneous equations that result from the application of the Laplace time finite analytic space method. Two well known methods were examined, ...
229
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 diffusion ...
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Solution of the diffusion equation using Adomain decomposition
... atmospheric diffusion equation (ADE) using Adomain decomposition method. The solution depends on eddy diffusivity profile (K) and wind speed at the released point ...
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Solute diffusion into cell walls in solution-impregnated wood under conditioning process II: effect of solution concentration on solute diffusion
... in solution-impregnated wood during conditioning, process of moderate drying of ...of solution concentration on the diffusion during the con- ditioning, weight percent gain (WPG) and relative ...
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Reaction/Diffusion at Electrode/Solution Interfaces: The EC2 Reaction
... in solution undergoing an oxidation or reduction reaction at a support electrode to an unstable intermediate species B which subsequently decomposes via a chemical transformation within the diffusion layer ...
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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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Solution of a Diffusion Problem in a Non-Homogeneous Flow and Diffusion Field by the Integral Representation Method (IRM)
... the diffusion of a material or heat in the sea, where the convective velocity and diffusion constant change in space and ...numerical solution of an advection-diffusion equation is proposed ...
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An efficient approximate solution of Riesz fractional advection-diffusion equation
... Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran. E-mail: [email protected] Abstract The Riesz fractional advection-diffusion is a result of the mechanics of chaotic dy- namics. ...
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Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... Khyati R. Desai 1 , V. H. Pradhan 2 Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395007, India Abstract--In this paper exact solution of linear and nonlinear ...
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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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MASS DIFFUSION INSIDE PROLATE SPHERICAL SOLIDS: AN ANALYTICAL SOLUTION
... analytical solution presented here can be used to obtain results that describe the transient phenomena, in particular, moisture content distribution and drying kinetics, in bodies with spherical, cylindrical and ...
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On the solution of reaction diffusion equations with double diffusivity
... In this paper we solve a pair of coupled Partial Differential Equations, which pair may arise in a number of physical situations, including, e.g., flow of homogeneous liquids in fissured[r] ...
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Profiles of blow-up solution of a weighted diffusion system
... (i) If m, q ≤ , this system possesses uniform blow-up profiles. (ii) If m, q > , this system presents single point blow-up patterns. Recently, Zhang and Yang [] studied the problem of (.), but they only obtained the ...
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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
... Moreover, we will give a suitable partial boundary value condition (1.6) by the general characteristic function method, and we shall use the Kruzkov doubling of variables trick to prove [r] ...
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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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Existence and uniqueness of the solution to a coupled fractional diffusion system
... Keywords: fractional diffusion system; initial boundary value problem; weak solution 1 Introduction The traditional diffusion equation has commonly been used to describe the phenomenon of Brownian motion. However, ...
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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 this ...
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Mathematical Solution of Two Dimensional Advection-Diffusion Equations
... Abstract: The Laplace conversion technique was applied to the Advection-Diffusion Equations (ADE) in two dimensions to obtain crosswind integrated normalized concentration, consider wind speed and the vertical ...
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Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient
... Rebelo, Numerical approximation of distributed order reactiondiffusion equations, Journal of Computational and Applied Mathematics 275 2015 216-227] that is adapted to our type of equatio[r] ...
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