[PDF] Top 20 Lagrange’s Spectral Collocation Method for Numerical Approximations of Two Dimensional Space Fractional Diffusion Equation
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Lagrange’s Spectral Collocation Method for Numerical Approximations of Two Dimensional Space Fractional Diffusion Equation
... applied collocation technique with Gauss-Lobatto nodes whereas Xie et ...tau method to determine expansion coefficients. For numerical ap- proximations of 1D fractional diffusion ... See full document
16
An exponential B spline collocation method for the fractional sub diffusion equation
... developing numerical algorithms to obtain the solutions of ...the fractional sub-diffusion equation with the Neumann boundary ...effective spectral method was constructed by using the ... See full document
17
The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... considered method has two steps, the first step is using the direct way to approximate the time fractional part, the diffusion equation will be system of space fractional ... See full document
7
Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... the spectral tau method based on the Jacobi operational matrix to solve the ...the spectral collocation method for the time-fractional diffusion-wave equation was ... See full document
12
A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation
... two-dimensional fractional reaction–subdiffusion equation. The method is based on adopting a third-order weighted and shifted Grünwald difference (WSGD) operator to approximate the time ... See full document
23
A Crank–Nicolson collocation spectral method for the two dimensional telegraph equations
... the spectral-collocation method and some Sobolev ...use two sets of nu- merical examples to verify that the results of numerical computations are accorded with the theoretical analysis ... See full document
17
On a novel modification of the Legendre collocation method for solving fractional diffusion equation
... solving fractional differential equations have been given such as variational iteration method [7], homotopy perturbation method [23], adomian decomposition method [8], homotopy analysis ... See full document
17
Finite Element Method for a Kind of Two Dimensional Space Fractional Diffusion Equation with Its Implementation
... Recently, numerical methods for multi-dimensional problems of fractional differential equational are ...direction method for a 2-D fractional reaction diffusion equation ... See full document
23
Alternating direction implicit finite difference methods for a new two dimensional two sided space fractional diffusion equation
... the fractional Fick’s law, a new two-sided space-fractional diffusion equation was ...present two accurate and efficient numerical methods to solve this ...difference ... See full document
17
An efficient numerical algorithm for solving the two dimensional fractional cable equation
... the numerical treatment of the fractional cable ...presented two implicit numerical methods for the fractional ca- ble equation and discussed the stability and convergence of ... See full document
18
High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation
... The fractional cable equation is derived from the Nernst-Planck equation which gives us a macroscopic approximation of the complicated microscopic motions of ions in nerve cells ...Different ... See full document
8
Numerical Method For Variable-order Space Fractional Diffusion Equation and Applications
... 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
9
Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation
... one-space dimensional linear hyperbolic equa- ...a numerical solution based on Chebyshev Tau ...Galerkin method for solving the hyperbolic telegraph ...a numerical approach based on the ... See full document
14
Pseudo Spectral Method for Space Fractional Diffusion Equation
... The collocation method, namely called pseudo-spectral method, is proposed in present ...of method can be efficiently applied to fractional partial differential ...the ... See full document
8
Analysis of two Legendre spectral approximations for the variable coefficient fractional diffusion wave equation
... The fractional diffusion-wave equation is a mathematical model of some important physical phenomena ...the equation with constant coefficients in the whole space and half-space by Green ... See full document
23
Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method
... Legendre spectral-collocation method to obtain approximate solutions of nonlinear multi- order fractional differential equations ...The fractional derivative is described in the Caputo ... See full document
6
Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method
... the spectral collocation method based on radial basis functions to solve the fractional Bagley-Torvik equation under uncertainty, in the fuzzy Caputo’s H-differentiability sense with ... See full document
29
Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
... for fractional order systems as the demanding performance expectations with uncertainties make it a challenge to come up with models that are useful, or control modules that can alleviate the difficulties in ... See full document
10
Difference numerical solutions for time-space fractional advection diffusion equation
... difference method, we discuss a time-space fractional advection diffusion equation, where the time term, the advection term, and the diffusion term are all fractional order ...the ... See full document
11
An approach based on statistical spline model for Volterra-Fredholm integral equations
... In this section, we consider three examples as given in [10] to present the priority and efficiency of SSM with respect to Lagrange collocation method (LCM) and Taylor collocation ... See full document
13
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