[PDF] Top 20 Solution of a modified fractional diffusion equation
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Solution of a modified fractional diffusion equation
... a modified fractional diffusion equation has been proposed ...From diffusion to anomalous diffusion: a century after Einstein’s brownian motion, Chaos 15 (2005) 026103; ...time ... See full document
13
A modified kernel method for a time fractional inverse diffusion problem
... the fractional derivative and the ill-posedness, to the authors’ knowledge, the results on inverse problem of the time-fractional diffusion equation are very ...one-dimensional fractional ... See full document
11
Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
... scenario fractional calculus plays an important role in the various fields of scientific and engineering ...problems. Fractional calculus is a field of mathematical study that grows out of the traditional ... See full document
6
Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... The diffusion wave equations have been extensively used in some important physical phenomena such as percolation clusters, amorphous, colloid, glassy and porous materials through fractals, dielectrics, ... See full document
12
On Approximate Solutions for Time-Fractional Diffusion Equation
... Several preconditioned strategies have been used for improving the convergence rate of the iterative methods derived from the standard and skewed (rotated) finite difference operators [11-14]. The difficulty lays in ... See full document
6
Numerical solution of the advective-diffusion equation
... scheme modified by a strong diffusion term in order to maintain stability and produce positive ...the diffusion used in the first step. The anti diffusion is applied everywhere except where ... See full document
229
Research on generalized space time fractional convection diffusion equation
... of fractional differential equation, the paper extends the space-time fractional convection-diffusion ...order fractional derivative instead of the space first derivative in the ... See full document
5
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
... with fractional orders 1 < 2 and 1 < 2 , where the diffusion coefficients d x y , 0 and e x y , 0 ...this fractional diffusion equation has a unique and ... See full document
5
Existence and uniqueness of the solution to a coupled fractional diffusion system
... the fractional diffusion equation has attracted a great deal of interest and more applications of it have been investigated to represent many natural processes in physics chemistry, biology, medicine, food ... See full document
14
On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation
... particular cases of the fundamental solution G α,β,n in terms of the Wright type functions. Discussion 325[r] ... See full document
15
Artificial boundary condition for a modified fractional diffusion problem
... diffusion equation, here, because of the fractional derivative, the stan- dard way of proving the uniqueness does not ...the fractional derivatives enjoy a nice property called ‘positive definiteness’ ... See full document
17
Solutions to Time Fractional Diffusion Wave Equation in Cylindrical Coordinates
... The two-dimensional Dirac delta function δx δy after passing to the polar coordinates takes the form 1/2πrδ r , but for the sake of simplicity, we have omitted the multiplier 2π in the solution 2.5 as well as 1/2π ... See full document
14
Pseudo Spectral Method for Space Fractional Diffusion Equation
... for fractional differential equation ...the fractional de- rivative and integral, and studied the numerical solution of differential equations by the spectral ... See full document
8
Solution of the diffusion equation using Adomain decomposition
... numerical solution of sixth order boundary value problem by ADM, El-Sayed and Abdel – Aziz (2003) compared between Adomians decomposition method and wavelet – Galerkin method for solving integro- differential ... See full document
7
Hermite Solution of Bagley Torvik Equation of Fractional Order
... matics. Fractional differential equations are operational and most effective tool to describe different physical phenomena such as rheology, diffusion processes, damping laws, and so ...tial equation ... See full document
16
New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... Abstract. In this article a modification of the Chebyshev collocation method is applied to the solution of space fractional differential equations. The fractional derivative is considered in the ... See full document
20
Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method
... heat equation with non-integer order by Yan et ...method solution for a non-integer diffusion-wave model [8] and the Adomian decomposition method ...heat equation by Ahmad et ... See full document
10
On a Fractional Master Equation and a Fractional Diffusion Equation
... and fractional master equation by obtaining the corresponding waiting time density in terms of generalized Mittag-Leffler function ...The solution of the master equation is derived by them in ... See full document
5
Modified implicit fractional difference scheme for 2D modified anomalous fractional sub diffusion equation
... anomalous fractional sub-diffusion equation by applying the discretized form of Riemann-Liouville integral operator and the backward difference formula to remove the partial derivative with respect to ... See full document
14
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
... with fractional orders 1 < 2 and 1 < 2 , where the diffusion coefficients d(x, y) > 0 and e(x, y) > ...this fractional diffusion equation has a unique and suffi- ... See full document
6
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