[PDF] Top 20 Modified implicit fractional difference scheme for 2D modified anomalous fractional sub diffusion equation
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Modified implicit fractional difference scheme for 2D modified anomalous fractional sub diffusion equation
... in fractional calculus and its ...of fractional calculus and applications can be found in Miller and Ross [], Oldham and Spanier [], Podlubny [] and Samko et ...modified anomalous ... See full document
14
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction Subdiffusion Equation
... with anomalous diffusion, which has been widely applied in various fields of science and en- ...finite difference methods for solving 1D linear reaction and anomalous- diffusion ...an ... See full document
21
Alternating Segment Explicit Implicit and Implicit Explicit Parallel Difference Method for Time Fractional Sub Diffusion Equation
... The fractional diffusion equations can accurately describe the migration process of anomalous diffusion, which are widely applied in the field of natu- ral science and engineering ...and ... See full document
17
A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... tional diffusion equations, we notice that most of the current research for fractional diffusion equations is in constant coef- ficient case, and less attention has been paid to the research for ... See full document
7
An alternating segment Crank–Nicolson parallel difference scheme for the time fractional sub diffusion equation
... of fractional dif- fusion ...convergent implicit difference approxi- mate methods for time fractional diffusion equation was constructed by Zhuang Pinghui et ...value fractional diffusion ... See full document
18
Finite difference scheme for multi term variable order fractional diffusion equation
... of fractional partial differential equations (FPDE), as a new and effective mathematical tool, is very popular and important in many scientific and engineering ...the anomalous diffusion in highly heterogeneous ... See full document
13
A fully implicit finite difference scheme based on extended cubic B splines for time fractional advection–diffusion equation
... solving fractional differential ...solving fractional advection–diffusion ...time fractional diffusion problems by Esen et ...solved anomalous time fractional diffusion problems in trans- ... See full document
17
A fast implicit difference scheme for a new class of time distributed order and space fractional diffusion equations with variable coefficients
... time-fractional anomalous FDEs with a constant-order temporal ...space fractional derivatives of distributed order for the kinetic de- scription of anomalous diffusion and relaxation phenomena, ... See full document
24
An efficient iterative approach for three dimensional modified anomalous fractional sub diffusion equations on a large domain
... The fractional sub-diffusion equation, which is obtained by replacing the time deriva- tive in ordinary diffusion by a fractional derivative of order ϑ with 0 < ϑ < 1, has been observed in ... See full document
14
Difference numerical solutions for time-space fractional advection diffusion equation
... The fractional order convection diffusion equations are the generalization of the in- tegral order convection diffusion ...some anomalous diffusion. For general fractional advection diffusion ... See full document
11
A new parallel difference algorithm based on improved alternating segment Crank–Nicolson scheme for time fractional reaction–diffusion equation
... difference scheme with higher accuracy and looser stability condition, this paper proposes a parallel computing method of IASC–N difference scheme for time fractional reaction–diffusion ...difference ... See full document
18
Artificial boundary condition for a modified fractional diffusion problem
... two fractional derivatives is investigated. The orders of the fractional derivatives are both between 0 and 1 and therefore the problem corresponds to the subdiffusion ...of fractional derivatives, a ... See full document
17
On a Fractional Master Equation and a Fractional Diffusion Equation
... where N(r,t) denotes the probability of finding the diffusive entity at the position r ∈ R d (which may be discrete or continuous) at time t if it was at the origin r=0 at time t=0. Here W(r) is the fractional ... See full document
5
Alternating direction implicit finite difference methods for a new two dimensional two sided space fractional diffusion equation
... However, less focus has been on the variable coefficients FDE in a conservative form. The diffusion coefficient is generally space- or time- dependent in practical problems. In the numerical aspect of these two-sided ... See full document
17
An efficient parallel algorithm for Caputo fractional reaction diffusion equation with implicit finite difference method
... Caputo fractional reaction-diffusion equation with implicit finite-difference method is memory- intensive, and the decrease of memory overhead by the improvement of data locality is more than the ... See full document
12
A finite difference scheme based on cubic trigonometric B splines for a time fractional diffusion wave equation
... numerical scheme for the approximate solution of a time fractional diffusion-wave equation with reaction term based on cubic trigonometric basis ...time fractional derivative is approximated by ... See full document
18
Turing pattern formation with fractional diffusion and fractional reactions
... a fractional reaction-diffusion equation with fractional order temporal derivatives operating on the diffusion term and an additive source/sink ...be fractional order temporal ... See full document
24
The implicit midpoint method for Riesz tempered fractional diffusion equation with a nonlinear source term
... The outline of this paper is arranged as follows. In Sect. 2, numerical scheme is proposed for solving Riesz tempered fractional diffusion equation with a nonlinear source term. Section 3 is devoted ... See full document
14
A conservative difference scheme for the Riesz space fractional sine Gordon equation
... To the best of our knowledge, there are very few works developing conservative numer- ical methods for fractional SGEs. The main objective of this paper is to propose a conser- vative numerical method for ... See full document
22
A modified kernel method for a time fractional inverse diffusion problem
... The rest of this paper is organized as follows. In Section , we demonstrate ill-posedness of the time-fractional inverse diffusion problem. In Section , a modified kernel method is used to solve problem (), and ... See full document
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