Diffusion Equation
A comparison of some numerical methods for the advection diffusion equation
... advection-diffusion equation by using cubic spline interpolation for the advection component and the Crank-Nicolson scheme for the diffusion ...
14
Solution of a modified fractional diffusion equation
... tracking experiments and photo-bleaching recovery experiments have revealed sub-diffusion (0 < γ < 1) of proteins and lipids in a variety of cell membranes [2–8]. Anomalous subdiffusion has also been ...
13
Advection Diffusion Equation for Nutrient Uptake by Aquatic Plant Root with Nonlinear Boundary Condition
... advection diffusion equation of nutrient transport in the water and then try to solve the advection diffusion equation by transforming it into non- dimensional form and using Michal Menten ...
14
The Mathematical Modeling of the Atmospheric Diffusion Equation
... atmospheric diffusion equation has been containing different shaped depending on Gaussian and non-Gaussian ...the diffusion-advection equation, assuming constant along the whole planetary ...
5
A Diffusion Equation with Exponential Nonlinearity Recant Developments
... the diffusion equation known from ...linear diffusion equation highly nonlinear, appropriate solution techniques are necessary (no Fouriertransform method is allowed as in the case of the ...
20
On Approximate Solutions for Time-Fractional Diffusion Equation
... good alternative to solve this type of equations and many other numerical problems. Numerical results strongly suggest that the efficiency of the proposed preconditioning methods. The convergence analysis of the present ...
6
Instant Diffusion Equation of Price Changing and Time Space Exchanging Description
... price diffusion is found in literature. This paper studies diffusion of price changing (rising) quantitatively which is analyzed by a partial dif- ferential equation based on analogy of heat ...
5
A Semi-Lagrangian Scheme for Advection-Diffusion Equation
... This paper deals with the advection-diffusion equation with the help of Lie-Trotter opeator splitting method. The problem splits into advection and diffusion processes. Each process solved by ...
11
Numerical simulation of Feller’s diffusion equation
... ’s diffusion equation which arises naturally in probabilities and physics ...this equation may represent serious numerical difficulties since the diffusion coefficient is practically unbounded ...
15
Impulsive Diffusion Equation on Time Scales
... Sturm-Liouville equation when p(t) = 0 and $(t) = 1 ...of diffusion equation in classical spectral ...odinger equation with a radial static potential V can be defined ...
12
Numerical solution of the advective-diffusion equation
... advection equation. The solution of the advection equation is considerably more difficult than the solution of the advective-diffusion ...differential equation is a reliable method for ...
229
Flow Image Velocimetry Method Based on Advection-Diffusion Equation
... in ADEsolver, the pollutant concentration A was calculated for every pixel in the calculation area (960×720 pixels, the same as velocity calculation area in Fluent) using the simplified advection-diffusion ...
12
Solution of the diffusion equation using Adomain decomposition
... atmospheric diffusion equation by Adomain decomposition method to calculate normalized crosswind concentrations for continuous emits sulfur hexafluoride ...
7
On a Fractional Master Equation and a Fractional Diffusion Equation
... Abstract In this paper , we derive the solutions of fractional master equation defined by (2.1) and fractional diffusion equation defined by (3.3). The method followed in deriving the solution is ...
5
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 ...
5
Recursive POD expansion for reaction-diffusion equation
... This section is devoted to the comparison of the practical performances of the feasible R-POD expansion. In particular, we confirm the exponential rate of convergence of the truncated POD expansion for the ...
22
Asymptotic Behavior of Solutions of a Periodic Diffusion Equation
... The purpose of this paper is to investigate the asymptotic behavior of nontriv- ial nonnegative solutions of the initial boundary value problem 1.1–1.3. Since the equation has periodic sources, it is of no meaning ...
12
On a generalized diffusion equation arising in petroleum engineering
... Using the Laplace-Fourier transform, we find the explicit solution for our equation un- der appropriate boundary conditions. We prove here that, in our case, all these derivatives when considered in diffusion ...
14
The boundary degeneracy of a singular diffusion equation
... with appropriately smooth boundary, p > 1, α > 0, and d = d(x) = dist(x, ∂ ). Though its diffusion coefficient vanishes on the boundary, it is still possible that the heat flux transfers across the boundary (Yin and ...
20
The dependence of blow-up time with respect to parameters for small reaction diffusion equation
... small diffusion, the solution of (4)-(6) blows-up time converges to one when the parameter $\gamma$ tends to zeros we also show that for large diffusion the solution of (4)-(6) exist globally and is bounded ...
10