Finite Difference Spectral Approximations For The Time Fractional Pdf | this paper presents a numerical scheme for space fractional diffusion equations (sfdes) based on pseudo spectral method. In this work, we have developed a pseudo spectral scheme to discretize the space time fractional diffusion equation with exponential tempering in both space and time.
Pdf Chebyshev Pseudo Spectral Method For Solving Fractional Advection This paper presents a numerical scheme for space fractional diffusion equations (sfdes) based on pseudo spectral method. in this approach, using the guass lobatto nodes, the unknown function is approximated by orthogonal polynomials or interpolation polynomials. In this paper, we study the space time variable order fractional difusion equation with a variable difusion coeficient. the fractional derivatives of variable orders are considered in the caputo sense. Optimal control of fractional diffusion equations has recently received special attention, due to their applications in various fields, such as control of temperature in a thermo conduction process or mass diffusive transport in a porous media (du et al. 2016). We used the pseudospectral method with chebyshev polynomial as an orthogonal basis function which converts the considered problem into a set of linear algebraic equations.
Pdf Existence And Uniqueness Of The Weak Solution Of The Space Time Optimal control of fractional diffusion equations has recently received special attention, due to their applications in various fields, such as control of temperature in a thermo conduction process or mass diffusive transport in a porous media (du et al. 2016). We used the pseudospectral method with chebyshev polynomial as an orthogonal basis function which converts the considered problem into a set of linear algebraic equations. The pseudo spectral (ps) and radial basis functions (rbf) methods to discretize the space and time fractional derivatives. these methods appear to be a better cho. This paper investigates a numerical scheme for solving space fractional diffusion equations (sfdes) based on spectral and pseudo spectral method. the equation is firstly discretized in space variable x by using the galerkin spectral method. A main advantage of the chebyshev method is an elegant formulation of boundary conditions (free surface or absorbing) through the definition of so called characteristic variables.
Pdf Fourier Spectral Method For Higher Order Space Fractional The pseudo spectral (ps) and radial basis functions (rbf) methods to discretize the space and time fractional derivatives. these methods appear to be a better cho. This paper investigates a numerical scheme for solving space fractional diffusion equations (sfdes) based on spectral and pseudo spectral method. the equation is firstly discretized in space variable x by using the galerkin spectral method. A main advantage of the chebyshev method is an elegant formulation of boundary conditions (free surface or absorbing) through the definition of so called characteristic variables.
Pdf Numerical Solution Of The Space Time Fractional Diffusion A main advantage of the chebyshev method is an elegant formulation of boundary conditions (free surface or absorbing) through the definition of so called characteristic variables.
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