[PDF] Top 20 High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation

... the two-dimensional time fractional cable equations with the help of PC with Core i7 Duo ...(SOR) iterative method whilst using different time steps (  = ... See full document

... two-dimensional fractional reaction–subdiffusion ...the time Caputo fractional derivative and applying the orthogonal spline collocation (OSC) method to approximate the spatial ...in ... See full document

... local fractional derivative to obtain the solutions of both homogeneous and nonhomogeneous transport ...the fractional KdV-Burgers ...nonlinear fractional Burgers problem is approximated by finite ... See full document

... in time and the center difference method in space, ADI is shown to only have second-order accuracy in both time and ...the equation needed to be solved in each step is relatively simple, and ... See full document

... differential equation with large solution variations or boundary ...and two-dimensional hyperbolic systems of conservation laws by using rezoning moving mesh methods where physical partial ... See full document

... multi- dimensional Schrödinger equations due to its unconditional stability and efficiency in sav- ing CPU time, see for instance Xu and Zhang [22] and the references given ...In order to reduce the ... See full document

... for fractional diffusion equations is in constant coef- ficient case, and less attention has been paid to the research for fractional diffusion equations with variable ...convergence order O(τ + h) ... See full document

... the fractional cable equation. Liu et al. [22] presented two implicit numerical methods for the fractional ca- ble equation and discussed the stability and convergence of these ... See full document

... the two-dimensional fourth-order hyperbolic equation ...fourth-order equation is written as a system of two second-order equations by introducing two new ... See full document

... difference scheme, fails to approach the exact solution of most equations; for obtaining a more accurate numerical solution one needs to add more nodes and use smaller mesh sizes, which would require more storage ... See full document

... 0 < γ < 1. Also, we introduce the Legendre and shifted Legendre polynomials for full discretization. The aim of this paper is to show that the spectral method based on the Legendre polynomial is also suitable for ... See full document

... three- dimensional form of the KP equation is a model to describe rapidly propagating magnetosonic waves of small amplitudes in a low β-magnetized plasma of super fluid ...three- dimensional KP ... See full document

... High order interface methods are important tools to develop more efficient approximations for simulation of long time behavior of wave propagation in 2D with low evaluation ...fifth order ... See full document

... in equation (3) with the coefficients given in row AC of table ...with time step size ∆t = 10 −4 ...in time at which the solution snapshots are ...the scheme is first order accurate in ... See full document

... RLW equation were con- sidered. Two types of conservative finite difference schemes were proposed in [], which depended on the choice of a ...with order O(τ  + h  ) ... See full document

... of fractional partial differ- ential equations ...a fractional advection-dispersion equation (FADE) for description of mass transport in a fractured ... See full document

... An important role of Fokker Plank equation is to represent the Brownian motion of par- ticles. FPE characterize the variety of probability of a random function of time and space variable. So we can say that ... See full document

... Riemann-Liouville fractional derivative appears unsuitable to be treated by the Laplace transform technique in that it requires the knowledge of the non-integer order derivatives of the function at t = 0 ... See full document

... Bhosale [3] had given the application of generalized fractional Fourier transform for solving particular type of partial differential equation. He also introduce new operator and solve particular type of ... See full document

... and fractional order integrations of order α, β respectively in Riemann- Liouville ...monotone iterative technique together with the method of upper and lower solutions to obtain sufficient ... See full document