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Derivation of the differential equation describing diffusion

Solving time-fractional differential diffusion equation by theta-method

Solving time-fractional differential diffusion equation by theta-method

... 3 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran Received 11 July 2014; accepted (in revised version) 24 August 2014 Abstract: This paper proposes a numerical method to deal with the ...

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Application of the Differential Transform Method to the Advection-Diffusion Equation in Three-Dimensions

Application of the Differential Transform Method to the Advection-Diffusion Equation in Three-Dimensions

... Advection diffusion equation with constant and variable coefficient has a wide range of practical, industrial and environmental ...dispersion equation, we present this study which deals analytically ...

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Resolution of the Computational Diffusion Hydrodynamic Model into Partial Differential Equation Form

Resolution of the Computational Diffusion Hydrodynamic Model into Partial Differential Equation Form

... partial differential equation (“PDE”) that describes the original mathematical PDE statement and computational solution of ...USGS Diffusion Hydrodynamic Model (“DHM”) is examined as to development ...

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An empirical derivation of the industry wage equation

An empirical derivation of the industry wage equation

... wage equation. Empirical derivation is necessitated by the absence of a clear theoretical guide to the functional form of the wage equation when competitive structure variables are ...

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1 The Diffusion Equation

1 The Diffusion Equation

... The Diffusion Equation This course considers slightly compressible fluid flow in porous ...The differential equation governing the flow can be derived by performing a mass balance on the fluid ...

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Solving MAGDM Problems Using Singularly Perturbed Differential Equation of Reaction Diffusion Type

Solving MAGDM Problems Using Singularly Perturbed Differential Equation of Reaction Diffusion Type

... [email protected], [email protected] Abstract- In this paper, the Multiple Attribute Group Decision Making (MAGDM) problems with interval- valued intuitionistic fuzzy sets are considered. The exact solution ...

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The Differential Quadrature Solution of Reaction Diffusion Equation Using Explicit and Implicit Numerical Schemes

The Differential Quadrature Solution of Reaction Diffusion Equation Using Explicit and Implicit Numerical Schemes

... ABSTRACT In this paper, two different numerical schemes, namely the Runge-Kutta fourth order method and the implicit Euler method with perturbation method of the second degree, are applied to solve the nonlinear thermal ...

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Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group

Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group

... Abstract. This paper deals with the fractional generalization of the integro- differential diffusion-wave equation for the Heisenberg sub-Laplacian, with homoge- neous Bitsadze-Samarskii type ...

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Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group

Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group

... integro- differential diffusion–wave equation for the Heisenberg sub-Laplacian, with homogeneous Bitsadze–Samarskii type time-nonlocal condi- ...

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GLOBAL EXISTENCE IN REACTION DIFFUSION NONLINEAR PARABOLIC PARTAIL DIFFERENTIAL EQUATION IN IMAGE PROCESSING.

GLOBAL EXISTENCE IN REACTION DIFFUSION NONLINEAR PARABOLIC PARTAIL DIFFERENTIAL EQUATION IN IMAGE PROCESSING.

... We give the proof of global existence of our nonlinear reaction diffusion of problem (P). In the first we define an approximating scheme and by using Schauder fixed point theorem in ordered Banach spaces, we show ...

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Derivation of the Rayleigh Plesset equation in terms of volume

Derivation of the Rayleigh Plesset equation in terms of volume

... Rayleigh-Plesset equation in which the bubble volume V is used as the dynamic parameter, where the damping is not derived from first ...Rayleigh-Plesset equation in which the bubble volume V is used as the ...

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A rigorous derivation of Smoluchowski's equation in the moderate limit

A rigorous derivation of Smoluchowski's equation in the moderate limit

... and Differential Equa- tions, Preprint 98-41, SFB 359, Ruprechts-Karls-Universit¨at Heidelberg ...Stochastic Differential Equations and Diffusion Processes, 2nd ...

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D ALEMBERT AND THE DERIVATION OF THE EQUATION FOR THE VIBRATING STRING

D ALEMBERT AND THE DERIVATION OF THE EQUATION FOR THE VIBRATING STRING

... This conclusion, the same made by d’Alembert, is the partial differential equation that describes the propagation of a wave over time. Its importance cannot be underestimated. The equation’s applicability ...

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identification in a convection-diffusion equation

identification in a convection-diffusion equation

... ordinary differential equations have been found to be a very effective technique, particularly for problems with singular solutions and those on unbounded ...

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The Hensher equation: derivation, interpretation and implications for practical implementation

The Hensher equation: derivation, interpretation and implications for practical implementation

... 22 Describing this as the ‘most typical formulation’ of the Hensher equation, Wardman et al. employed this as the basis for their empirical comparison of VBTTS from the cost savings, Hensher and ...

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Stochastic Derivation of an Integral Equation for Probability Generating Functions

Stochastic Derivation of an Integral Equation for Probability Generating Functions

... and differential equations of transformed probability generating functions are generally recognized as powerful analytical tools for establishing characterizations of discrete probability ...integral ...

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The Equation of Exchange: A Derivation

The Equation of Exchange: A Derivation

... the equation of exchange that is derived from the solution to a n agent’s utility maximization problem and the profit maximizing behavior of a competitive ...

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The Equation of Exchange: A Derivation

The Equation of Exchange: A Derivation

... the equation of exchange that is derived from the solution to an agent’s utility maximization problem and the profit maximizing behavior of a competitive ...

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Derivation of the Laplace equation

Derivation of the Laplace equation

... a derivation of the Laplace equation which gives the rela- tionship between capillary pressure, surface tension, and principal radii of curva- ture of the interface between the two ...

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9 Derivation of Continuity Equation In

9 Derivation of Continuity Equation In

... Saad, T. "9. Derivation of the Continuit y Equation in Spherical Coordinates". Weblog entr y from Please Make A Note . htt p:/ / pleasemakeanote.blogspot. com/2010/ 02/9-derivat ion-of-continuit ...

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