[PDF] Top 20 Difference numerical solutions for time-space fractional advection diffusion equation
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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 ...general fractional advection diffusion equation, it is hard to get the ... See full document
11
Fractional Difference Approximations for Time Fractional Telegraph Equation
... solve fractional telegraph ...the time-fractional telegraph equation with Robin boundary value conditions by us- ing the reproducing kernel ...a fractional exponential operator, which ... See full document
9
A comparison of some numerical methods for the advection diffusion equation
... Finite difference methods and cubic spline schemes for the one dimensional advection- diffusion equation have been ...point-wise solutions than the ”natural” cubic spline and ”Special ... See full document
14
Solution of a Diffusion Problem in a Non-Homogeneous Flow and Diffusion Field by the Integral Representation Method (IRM)
... the diffusion of a material or heat in the sea, where the convective velocity and diffusion constant change in space and ...new numerical solution of an advection-diffusion ... See full document
12
The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... When time dependent PDEs are solved numerically by spectral methods[1, 2], the pattern is usually the same: employ spectral treatment to space dependency and use finite difference in time or ... See full document
7
A universal difference method for time space fractional Black Scholes equation
... the time-space fractional B-S equation, so it is important to study its numerical ...the numerical methods for solving the fractional B-S equation ...the ... See full document
14
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 ...the solutions of time fractional diffusion problems by Esen et ...anomalous time ... See full document
17
Numerical Method For Variable-order Space Fractional Diffusion Equation and Applications
... explicit fractional order finite difference scheme for variable- order space fractional diffusion equation ...their solutions are represented graphically by Mathematica ... See full document
9
Research on generalized space time fractional convection diffusion equation
... of fractional differential equation, the paper extends the space-time fractional convection-diffusion ...order fractional derivative instead of the space first ... See full document
5
Chebyshev Pseudo Spectral Method for Solving Fractional Advection Dispersion Equation
... efficient numerical method for solving the fractional Advection-dispersion equation (ADE) is ...The fractional derivative is described in the Caputo ...finite difference method ... See full document
10
Solutions to Time Fractional Diffusion Wave Equation in Cylindrical Coordinates
... Nonaxisymmetric solutions to time-fractional diffusion-wave equation with a source term in cylindrical coordinates are obtained for an infinite ...The solutions are found using the ... See full document
14
Numerical approximation of the space time Caputo Fabrizio fractional derivative and application to groundwater pollution equation
... with fractional order without singular ...with numerical analysis, we propose a numerical approximation in time and ...the advection dispersion equation by replacing the ... See full document
13
Numerical algorithms for the time space tempered fractional Fokker Planck equation
... Riesz fractional derivative. At first, the Riesz fractional derivative was generally approached by the Grünwald-Letnikov derivative ap- proximation with the first order of accuracy ...lines, fractional ... See full document
17
Normalized Bernstein polynomials in solving space time fractional diffusion equation
... Effective numerical methods for solving space-time fractional diffusion equation with initial boundary conditions are ...unbounded time domain. Some numerical experiments to ... See full document
25
A numerical algorithm based on modified extended B spline functions for solving time fractional diffusion wave equation involving reaction and damping terms
... approximate solutions of differential/integral equations has al- ways remained an attractive area of ...some fractional-order quadratic Volterra equations and nonlinear integral equa- tions has been ... See full document
19
Alternating Group Explicit Iterative Methods for One Dimensional Advection Diffusion Equation
... The numerical methods that have been applied to advection-diffusion equation include finite difference me- thods, Galerkin methods, spectral methods, wavelet based finite elements and ... See full document
9
Online Full Text
... a numerical method for solving a class of fractional convection diffusion equations with time-space variable ...exact solutions is provided. Finally, numerical examples ... See full document
5
Optimal error estimate of the Legendre spectral approximation for space fractional reaction–advection–diffusion equation
... the space-fractional reaction–advection–diffusion equation with fractional diffusion and integer advection ...Riemann–Liouville fractional derivative operators, we construct ... See full document
22
On Approximate Solutions for Time-Fractional Diffusion Equation
... Several preconditioned strategies have been used for improving the convergence rate of the iterative methods derived from the standard and skewed (rotated) finite difference operators [11-14]. The difficulty lays ... See full document
6
The Dirichlet problem for the time-fractional advection-diffusion equation in a line segment
... the fractional advection diffusion equation as well as of the numerical methods used for its solving can be found in ...analytical solutions of fractional advections dif- fusion ... See full document
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