[PDF] Top 20 The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation

... Diffusion equation provide an important tool for modeling a numerous problems in engineering, physics and others science, the generalization of the integer order diffusion equation to ... See full document

... of fractional order functional spaces endowed with inner products and norms, and the weak formulation for the space-fractional reaction–advection–diffusion equation is given in the next ... See full document

... on Chebyshev Tau ...Galerkin method for solving the hyperbolic telegraph ...telegraph equation. To solve the telegraph equation using the MLWS method, the conventional moving least ... See full document

... involving fractional calculus is already very large and still ...the fractional calculus is that the fractional derivatives provide an excellent approach for the description of memory and hereditary ... See full document

... for spectral approximations and then as collocation points to determine the expansion ...Lagrange’s spectral collocation method are investigated through two examples of 2D space ... See full document

... etc. Fractional diffusion equations have been topic of interest, studied by many researchers for developing fractional order finite difference ...the time- space fractional ... See full document

... and fractional derivatives. To show the effectiveness of the proposed method, we report our numerical findings in Section ; and finally, in Section , we give a brief ... See full document

... the fractional Reynolds num- ...the fractional boundary layer flow of a Maxwell fluid on an unsteady stretching ...constitutive equation was recast so as to introduce space–time ... See full document

... the fractional diffusion ...Legendre spectral collocation method to obtain the numerical solution of the space-time fractional Burger’s ...A spectral collocation scheme ... See full document

... collocation method, namely called pseudo-spectral method, is proposed in present ...of method can be efficiently applied to fractional partial differential ...the space and ... See full document

... preconditioned fractional rotated finite difference method for solving 2D Time-Fractional Diffusion ...of fractional rotated five point’s approximation method will be ... See full document

... Spectral methods provide a computational approach that has become better known over the last decade and has become the topic of study for many researchers [–], especially when linked with the fractional ... See full document

... of time fractional derivative based on a finite difference scheme pre- sented in section ...Legendre spectral collocation method for the spatial discretization of time fractional ... See full document

... the fractional B-S equation. Wyss first deduced the fractional B-S equation with a time fractional derivative to price European call option ...the fractional Taylor formula ... See full document

... Such fractional order models provide an improved description of observed bio electrode behaviour, but recent experimental studies of cardiac tissue suggest that additional mathematical tools may be needed to ... See full document

... Fractional diffusion equations are used to model prob- lems in Physics [1-3], Finance [4-7], and Hydrology ...[8-12]. Fractional space derivatives may be used to for- mulate anomalous ... See full document

... one-dimensional space fractional diffu- sion ...a fractional diffusion equation by the regularization ...the fractional diffusion equa- tion in a bound ...coupled method, the ... See full document

... sub-diffusion, diffusion and super- diffusion scenarios, and have been applied to an increasing number of situations in biochemistry [47], control [42, 43], medicine [8, 10, 20] and mathematical ... See full document

... The fractional derivative in the Caputo ...of fractional order γ > 0, and not necessarily equivalent to each other,(see, ...Caputo fractional derivative allows the utilization of initial and ... See full document

... Step 1: We consider the following general nonlinear space-time FDE of the type H(u, D α t u, D x α u, D 2α t u, D t α D x α u, D 2α x u, ...) = 0, 0 < α < 1, (1.5) where u is an unknown function, and ... See full document