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Diffusion equation

On analytical solutions for the nonlinear diffusion equation

On analytical solutions for the nonlinear diffusion equation

... nonlinear diffusion equation arises in many important areas of nonlinear problems of heat and mass transfer, biological systems and processes involving fluid flow and most of the known exact solutions turn ...

9

An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time

An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time

... order diffusion equations were analysed. In [24], the diffusion equation of distributed order in time (between zero and one) was analysed for Dirichlet, Neumann and Cauchy boundary ...time-fractional ...

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Approximate analytical solution of diffusion equation with fractional time derivative using optimal homotopy analysis method

Approximate analytical solution of diffusion equation with fractional time derivative using optimal homotopy analysis method

... Fractional diffusion equations model phenomena exhibiting anomalous diffusion have played an increasing role in the disciplines of Applied mathematics, Physics and Engineering for last few ...Fractional ...

15

On the Numerical Solution of Three-Dimensional Diffusion Equation with an Integral Condition

On the Numerical Solution of Three-Dimensional Diffusion Equation with an Integral Condition

... The aim of this work is to study and to implement the decomposition method for solving a three-dimensional diffusion equation with non local condition[11,13-15]. The decomposition method can also be applied ...

5

Retinal Image Enhancement Using Robust Inverse Diffusion Equation and Self-Similarity Filtering.

Retinal Image Enhancement Using Robust Inverse Diffusion Equation and Self-Similarity Filtering.

... inverse diffusion equation is presented by combining a powerful self-similarity filtering, where the flux corrected transport technique is used to eliminate over- shoots inherent in the Laplacian ...

13

The effect of added pollutant along a river on the pollutant concentration described by one –dimensional advection diffusion equation.

The effect of added pollutant along a river on the pollutant concentration described by one –dimensional advection diffusion equation.

... differential equation of parabolic type derived on the principle of conservation of mass and Fick’s Laws of diffusion and is known as the advection- diffusion equation[Yadav et ...differential ...

10

On the solution of non-linear diffusion equation

On the solution of non-linear diffusion equation

... the diffusion equation is usually performed with the finite element discretization for the spatial elliptic part of the equation and the time dependency is integrated via some difference scheme, ...

15

An analytic algorithm for the space-time fractional reaction-diffusion equation

An analytic algorithm for the space-time fractional reaction-diffusion equation

... of diffusion or even according to a function and then grow according to a specific rule, are very important rules in biology [11, ...reaction diffusion equation of the characteristic Cauchy type has ...

16

Analytical representation of the solution of the space kinetic diffusion equation in a one-dimensional and homogeneous domain

Analytical representation of the solution of the space kinetic diffusion equation in a one-dimensional and homogeneous domain

... kinetic diffusion equation in a one-dimensional geometry considering a homogeneous domain, for two energy groups and six groups of delayed neutron ...the equation system is reorganized such that the ...

13

A Decomposition and Noise Removal Method Combining Diffusion Equation and Wave Atoms for Textured Images

A Decomposition and Noise Removal Method Combining Diffusion Equation and Wave Atoms for Textured Images

... We propose a new method that is aimed at denoising images having textures. The method combines a balanced nonlinear partial differential equation driven by optimal parameters, mathematical morphology operators, ...

21

Traveling wave solutions of a biological reaction-convection-diffusion equation model by using $(G'/G)$ expansion method

Traveling wave solutions of a biological reaction-convection-diffusion equation model by using $(G'/G)$ expansion method

... expansion method is quiet efficient and well suited for finding exact solutions. The reliability of the method and reduction in the size of computational domain give this method a wider applicability. With the aid of ...

5

Rev. bras. meteorol.  vol.31 número2

Rev. bras. meteorol. vol.31 número2

... advection-diffusion equation can be written an integral form and also in series formulations with the same main property that both solutions are equivalent (Moreira et ...

9

TEMA (São Carlos)  vol.18 número2

TEMA (São Carlos) vol.18 número2

... In Section 2, we derive a general boundary condition with linear flux for an advection-diffusion equation, through an integral formulation. Integrating the concentration under study over the spa- tial ...

20

Lateral diffusion of nutrients by mammalian herbivores in terrestrial ecosystems.

Lateral diffusion of nutrients by mammalian herbivores in terrestrial ecosystems.

... lateral diffusion of a nutrient, where the diffusivity is a biologically determined parameter depending on the characteristics of mammals occupying the domain, including size-dependent phenomena such as day range, ...

10

Diffusion and sorption of allyl isothiocyanate in the process of fumigation of maize

Diffusion and sorption of allyl isothiocyanate in the process of fumigation of maize

... the diffusion of AITC through maize ...of diffusion, a prototype w as utilized in w hich the components are a gas chamber and a cylindrical column in which the grains were ...effective diffusion ...

6

Equilibrium moisture content equation

Equilibrium moisture content equation

... this equation it is not necessary to perform additional experimental tests because it can be determined from the values of the equilibrium moisture content of the product at different temperatures and humidity, ...

11

Word diffusion and climate science.

Word diffusion and climate science.

... As public and political debates often demonstrate, a substantial disjoint can exist between the findings of science and the impact it has on the public. Using climate-change science as a case example, we reconsider the ...

9

Solving the Class Equation

Solving the Class Equation

... Keywords: Alternating Groups; Permutations; Conjugate Classes; Cycle Type; Frobenius Equation1. Frobenius and then was studied by many others such as ([1-4]).[r] ...

7

Effective nonlinear Schrodinger equations for cigar-shaped and disc-shaped Fermi superfluids at unitarity

Effective nonlinear Schrodinger equations for cigar-shaped and disc-shaped Fermi superfluids at unitarity

... with ω the trap frequency. In figure 1 , we plot the total energy E in units of ¯hω versus N. For comparison, we also plot the TF energy. The energy of the TF approximation (LDA approach) is analytically known to be E(N ...

20

POLICY DIFFUSION AND TRANSLATION

POLICY DIFFUSION AND TRANSLATION

... policy diffusion and policy transfers studies which are rarely systematically comparative): the construction and formulation of policy problems sustaining policy proposals (discursive dimension), the interactions ...

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