A finite difference method for fractional diffusion equations with ...

A finite difference numerical method is investigated for fractional order diffusion problems in one space dimension. The basis of the mathematical model and ...

A direct O(N log2 N) finite difference method for fractional diffusion ...

This is in contrast to numerical methods for second-order diffusion equations which usually generate banded coefficient matrices of O(N) nonzero ...

finite difference method for time fractional diffusion equations with ...

In this paper, we establish a fast modified finite difference method for the time fractional diffusion equation with weakly singular solution at the initial ...

A finite difference scheme for fractional sub-diffusion equations on ...

The main contribution of our work, as compared with the previous work, lies in the reduction of fractional differential equations on an unbounded domain by ...

On an explicit finite difference method for fractional diffusion equations

Abstract page for arXiv paper cs/0311011: On an explicit finite difference method for fractional diffusion equations.

Stable finite difference method for fractional reaction–diffusion ...

The finite difference methods are accepted as one of the most popular numerical methods for fractional reaction–diffusion equations because they ...

finite difference methods for fractional differential equations

The considered equations mainly include the fractional kinetic equations of diffusion or dispersion with time, space and time-space derivatives.

Compact finite difference method for the fractional diffusion equation

We analyze the local truncation error and discuss the stability using the Fourier method, then we prove that the compact finite difference scheme converges with ...

A finite difference method with non-uniform timesteps for fractional ...

An implicit finite difference method with non-uniform timesteps for solving fractional diffusion and diffusion-wave equations in the Caputo ...

A direct O(Nlog2N) finite difference method for fractional diffusion ...

In this paper we develop a fast finite difference method for fractional diffusion equations, which only requires storage of O(N) and computational cost of O( ...

Compact finite difference method for the fractional diffusion equation

26 References · An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations · Convergence of the ...

Finite difference scheme for time‐space fractional diffusion equation ...

Abstract. In this paper, the finite difference scheme is developed for the time-space fractional diffusion equation with Dirichlet and ...

A Finite Difference Method for Space Fractional Differential ... - HAL

Anomalous diffusion is a phenomenon that cannot be modeled accurately by second-order diffusion equations, but is better described by fractional ...

a fast second-order finite difference method for space-fractional ...

However, numerical discretizations of fractional diffusion equations yield full coefficient matrices, which require a computational operation of O(N3) per time ...

A Fast Finite Difference Method for Two-Dimensional Space ...

Because of the nonlocal property of fractional differential operators, numerical methods for space-fractional diffusion equations generate complicated dense or ...

Fast finite difference methods for space-fractional diffusion ...

Numerical methods for space-fractional diffusion equations often generate dense or even full stiffness matrices. Traditionally, these methods were solved ...

On an explicit finite difference method for fractional diffusion equations

The forward time centered space (FTCS) method is combined with the Grunwald-Letnikov definition of the fractional derivative operator to obtain an explicit ...

Finite Difference Approximation Method for Two

Keywords: Finite difference, Caputo-Fabrizio fractional derivative, two-dimensional space-time fractional diffusion equation, convergence, stability. 1 ...

A Second-Order Finite Difference Method for Two-Dimensional ...

A finite difference method which is second-order accurate in time and in space is proposed for two-dimensional fractional percolation equations.

A Fast Finite Difference Method for Tempered Fractional Diffusion ...

For tempered fractional diffusion equations, the proposed finite difference formula yields an unconditionally stable scheme when an implicit Euler method is ...